300 (three hundred) is the

natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called ''cardinal ...

following

299 __NOTOC__ Year 299 ( CCXCIX) was a common year starting on Sunday (link will display the full calendar) of the Julian calendar. In the Roman Empire, it was known as the Year of the Consulship of Diocletian and Maximian (or, less frequently, ...

and preceding

301 __NOTOC__ Year 301 ( CCCI) was a common year starting on Wednesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Postumius and Nepotianus (or, less frequently, year 1054 ...

Mathematical properties

The number 300 is a

triangular number A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The th triangular number is the number of dots i ...

and the sum of a pair of

twin prime A twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair (41, 43). In other words, a twin prime is a prime that has a prime gap of two. Sometimes the term ''twin p ...

s (149 + 151), as well as the sum of ten consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). It is palindromic in 3 consecutive bases: 300₁₀ = 606₇ = 454₈ = 363₉, and also in base 13. Factorization is 300⁶⁴ + 1 is prime

Other fields

Three hundred is: * In

bowling Bowling is a target sport and recreational activity in which a player rolls a ball toward pins (in pin bowling) or another target (in target bowling). The term ''bowling'' usually refers to pin bowling (most commonly ten-pin bowling), thou ...

, a perfect score, achieved by rolling strikes in all ten frames (a total of twelve strikes) * The lowest possible Fair Isaac credit score * Three hundred ft/s is the maximum legal speed of a shot paintball * In the

Hebrew Bible The Hebrew Bible or Tanakh (;"Tanach"
'' Israelite The Israelites (; , , ) were a group of Semitic-speaking tribes in the ancient Near East who, during the Iron Age, inhabited a part of Canaan. The earliest recorded evidence of a people by the name of Israel appears in the Merneptah Stele o ...

judge Gideon against the

Midianites Midian (; he, מִדְיָן ''Mīḏyān'' ; ar, مَدْيَن, Madyan; grc-gre, Μαδιάμ, ''Madiam'') is a geographical place mentioned in the Hebrew Bible and Quran. William G. Dever states that biblical Midian was in the "northwest Ar ...

() * According to Islamic tradition, 300 is the number of ancient Israeli king Thalut's soldiers victorious against Goliath's soldiers * According to Herodotus, 300 is the number of ancient

Spartans Sparta ( Doric Greek: Σπάρτα, ''Spártā''; Attic Greek: Σπάρτη, ''Spártē'') was a prominent city-state in Laconia, in ancient Greece. In antiquity, the city-state was known as Lacedaemon (, ), while the name Sparta referr ...

resisting one million Persian invaders during the Battle of Thermopylae * In Islamic history, 300 is the number of Muhammad's followers victorious in the Battle of Badr * Three hundred is the number of families followers of Jewish heretic

Sabbatai Zevi Sabbatai Zevi (; August 1, 1626 – c. September 17, 1676), also spelled Shabbetai Ẓevi, Shabbeṯāy Ṣeḇī, Shabsai Tzvi, Sabbatai Zvi, and ''Sabetay Sevi'' in Turkish, was a Jewish mystic and ordained rabbi from Smyrna (now İzmir, Turk ...

forced to convert to Islam by the Sultan of the Ottoman Empire and became the ancestors of Donmeh * Three hundred is the number of seats in the Hellenic parliament * 3hunnid, a gang collective of the

Black Disciples The Black Disciples (often abbreviated as BDN, BDN III, BD's) is a large street gang based in Chicago, Illinois, which received significant news coverage after the murder of one of their own members, an 11-year-old named Robert Sandifer. H ...

, famous for including rappers like Chief Keef and Lil Durk.

Integers from 301 to 399

300s

301

301 = 7 × 43 =

\left\

. 301 is the sum of three consecutive primes (97 + 101 + 103),

happy number In number theory, a happy number is a number which eventually reaches 1 when replaced by the sum of the square of each digit. For instance, 13 is a happy number because 1^2+3^2=10, and 1^2+0^2=1. On the other hand, 4 is not a happy number because ...

in base 10, lazy caterer number . An

HTTP status code This is a list of Hypertext Transfer Protocol (HTTP) response status codes. Status codes are issued by a server in response to a client's request made to the server. It includes codes from IETF Request for Comments (RFCs), other specifications, ...

, indicating the content has been moved and the change is permanent (permanent redirect). It is also the number of a debated

Turkish penal code Turkish may refer to: *a Turkic language spoken by the Turks * of or about Turkey ** Turkish language *** Turkish alphabet ** Turkish people, a Turkic ethnic group and nation *** Turkish citizen, a citizen of Turkey *** Turkish communities and mi ...

302

302 = 2 × 151. 302 is a

nontotient In number theory, a nontotient is a positive integer ''n'' which is not a totient number: it is not in the range of Euler's totient function φ, that is, the equation φ(''x'') = ''n'' has no solution ''x''. In other words, ''n'' is a nontotien ...

, a happy number, the number of partitions of 40 into prime parts 302 is the

indicating the content has been moved (temporary redirect). It is also the displacement in cubic inches of Ford's "5.0" V8 and the area code for the state of Delaware.

303

303 = 3 × 101. 303 is a palindromic semiprime. The number of compositions of 10 which cannot be viewed as stacks is 303. 303 is the "See other" HTTP status code, indicating content can be found elsewhere. Model number of the

Roland TB-303 The Roland TB-303 Bass Line (also known as the 303) is a bass synthesizer released by Roland Corporation in 1981. Designed to simulate bass guitars, it was a commercial failure and was discontinued in 1984. However, cheap second-hand units were ...

synthesizer which is accredited as having been used to create the first acid house music tracks, in the late 1980s.

304

304 = 2⁴ × 19. 304 is the sum of six consecutive primes (41 + 43 + 47 + 53 + 59 + 61), sum of eight consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), primitive semiperfect number,

untouchable number An untouchable number is a positive integer that cannot be expressed as the sum of all the proper divisors of any positive integer (including the untouchable number itself). That is, these numbers are not in the image of the aliquot sum function. ...

, nontotient. 304 is the smallest number such that no square has a set of digits complementary to the digits of the square of 304: The square of 304 is 92416, while no square exists using the set of the complementary digits 03578. 304 is the HTTP code indicating the content has not been modified, and the record number of wickets taken in English cricket season by

Tich Freeman Alfred Percy "Tich" Freeman (17 May 1888 – 28 January 1965) was an English first-class cricketer. A leg spin bowler for Kent County Cricket Club and England, he is the only man to take 300 wickets in an English season, and is the second most p ...

in 1928.

304 Year 304 ( CCCIV) was a leap year starting on Saturday (link will display the full calendar) of the Julian calendar. It was known in the Roman Empire as the Year of the Consulship of Diocletian and Maximian (or, less frequently, year 1057 '' A ...

is also the name of a card game popular in Sri Lanka and southern India. It is also one of the telephone area codes for West Virginia.

305

305 = 5 × 61. 305 is the convolution of the first 7 primes with themselves. 305 is the HTTP status code indicating a proxy must be used. 305 cm is the hight of a basketball hoop.

306

306 = 2 × 3² × 17. 306 is the sum of four consecutive primes (71 + 73 + 79 + 83),

pronic number A pronic number is a number that is the product of two consecutive integers, that is, a number of the form n(n+1).. The study of these numbers dates back to Aristotle. They are also called oblong numbers, heteromecic numbers,. or rectangular number ...

, and an untouchable number. It is also a

telephone area code A telephone numbering plan is a type of numbering scheme used in telecommunication to assign telephone numbers to subscriber telephones or other telephony endpoints. Telephone numbers are the addresses of participants in a telephone network, rea ...

for the province of

Saskatchewan Saskatchewan ( ; ) is a province in western Canada, bordered on the west by Alberta, on the north by the Northwest Territories, on the east by Manitoba, to the northeast by Nunavut, and on the south by the U.S. states of Montana and North Dak ...

, Canada.

307

307 is a

prime number A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...

Chen prime A prime number ''p'' is called a Chen prime if ''p'' + 2 is either a prime or a product of two primes (also called a semiprime). The even number 2''p'' + 2 therefore satisfies Chen's theorem. The Chen primes are named after Chen Jingru ...

, number of one-sided octiamonds and the HTTP status code for "temporary redirect"

308

308 = 2² × 7 × 11. 308 is a nontotient, totient sum of the first 31 integers, heptagonal pyramidal number, and the sum of two consecutive primes (151 + 157).

309

309 = 3 × 103,

Blum integer In mathematics, a natural number ''n'' is a Blum integer if is a semiprime for which ''p'' and ''q'' are distinct prime numbers congruent to 3 mod 4.Joe Hurd, Blum Integers (1997), retrieved 17 Jan, 2011 from http://www.gilith.com/research/tal ...

, number of primes <= 2¹¹.

310s

310

310 = 2 × 5 × 31. 310 is a

sphenic number In number theory, a sphenic number (from grc, σφήνα, 'wedge') is a positive integer that is the product of three distinct prime numbers. Because there are infinitely many prime numbers, there are also infinitely many sphenic numbers. Definit ...

noncototient In mathematics, a noncototient is a positive integer ''n'' that cannot be expressed as the difference between a positive integer ''m'' and the number of coprime integers below it. That is, ''m'' − φ(''m'') = ''n'', where � ...

, number of Dyck 11-paths with strictly increasing peaks.

311

311 is a prime number. 4³¹¹ - 3³¹¹ is prime

312

312 = 2³ × 3 × 13,

idoneal number In mathematics, Euler's idoneal numbers (also called suitable numbers or convenient numbers) are the positive integers ''D'' such that any integer expressible in only one way as ''x''2 ± ''Dy''2 (where ''x''2 is relatively prime to ''Dy ...

313

313 is a prime number.

314

314 = 2 × 157. 314 is a

, smallest composite number in Somos-4 sequence.

315

315 = 3² × 5 × 7 =

D_ \!

rencontres number, highly composite odd number, having 12 divisors.

316

316 = 2² × 79. 316 is a

centered triangular number A centered (or centred) triangular number is a centered figurate number that represents an equilateral triangle with a dot in the center and all its other dots surrounding the center in successive equilateral triangular layers. The followin ...

and a

centered heptagonal number A centered heptagonal number is a centered figurate number that represents a heptagon with a dot in the center and all other dots surrounding the center dot in successive heptagonal layers. The centered heptagonal number for ''n'' is given by ...

317

317 is a prime number,

Eisenstein prime In mathematics, an Eisenstein prime is an Eisenstein integer : z = a + b\,\omega, \quad \text \quad \omega = e^, that is irreducible (or equivalently prime) in the ring-theoretic sense: its only Eisenstein divisors are the units , itself ...

with no imaginary part, Chen prime, and a strictly non-palindromic number. 317 is the exponent (and number of ones) in the fourth base-10 repunit prime. 317 is also shorthand for the

LM317 The LM317 is a popular adjustable positive linear voltage regulator. It was designed by Bob Dobkin in 1976 while he worked at National Semiconductor. The LM337 is the negative complement to the LM317, which regulates voltages below a reference. ...

adjustable regulator chip. It is also the area code for the Indianapolis region.

318

318 = 2 × 3 × 53. It is a

, nontotient, and the sum of twelve consecutive primes (7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47)

319

319 = 11 × 29. 319 is the sum of three consecutive primes (103 + 107 + 109),

Smith number In number theory, a Smith number is a composite number for which, in a given number base, the sum of its digits is equal to the sum of the digits in its prime factorization in the given number base. In the case of numbers that are not square-f ...

, cannot be represented as the sum of fewer than 19 fourth powers,

in base 10 "319" is a song by

Prince A prince is a male ruler (ranked below a king, grand prince, and grand duke) or a male member of a monarch's or former monarch's family. ''Prince'' is also a title of nobility (often highest), often hereditary, in some European states. T ...

British Rail Class 319 The British Rail Class 319 is an electric multiple unit passenger train built by British Rail Engineering Limited's Holgate Road carriage works for use on north–south cross-London services. These dual-voltage trains are capable of operating ...

s are dual-voltage electric multiple unit trains

320s

320

320 = 2⁶ × 5 = (2⁵) × (2 × 5). 320 is a

Leyland number In number theory, a Leyland number is a number of the form :x^y + y^x where ''x'' and ''y'' are integers greater than 1. They are named after the mathematician Paul Leyland. The first few Leyland numbers are : 8, 17, 32, 54, 57, 100, 145, 177, ...

, and maximum determinant of a 10 by 10 matrix of zeros and ones. A popular

bitrate In telecommunications and computing, bit rate (bitrate or as a variable ''R'') is the number of bits that are conveyed or processed per unit of time. The bit rate is expressed in the unit bit per second (symbol: bit/s), often in conjunction ...

321

321 = 3 × 107, a

Delannoy number In mathematics, a Delannoy number D describes the number of paths from the southwest corner (0, 0) of a rectangular grid to the northeast corner (''m'', ''n''), using only single steps north, northeast, or east. The Delannoy numbers are named aft ...

An area code in central

Florida Florida is a state located in the Southeastern region of the United States. Florida is bordered to the west by the Gulf of Mexico, to the northwest by Alabama, to the north by Georgia, to the east by the Bahamas and Atlantic Ocean, and to ...

322

322 = 2 × 7 × 23. 322 is a sphenic, nontotient, untouchable, and a

Lucas number The Lucas numbers or Lucas series are an integer sequence named after the mathematician François Édouard Anatole Lucas (1842–1891), who studied both that sequence and the closely related Fibonacci numbers. Lucas numbers and Fibonacci n ...

. It is also seen as a

Skull and Bones Skull and Bones, also known as The Order, Order 322 or The Brotherhood of Death, is an undergraduate senior secret student society at Yale University in New Haven, Connecticut. The oldest senior class society at the university, Skull and Bone ...

reference of power

323

323 = 17 × 19. 323 is the sum of nine consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), the sum of the 13 consecutive primes (5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47),

Motzkin number In mathematics, the th Motzkin number is the number of different ways of drawing non-intersecting chords between points on a circle (not necessarily touching every point by a chord). The Motzkin numbers are named after Theodore Motzkin and have d ...

. A Lucas and

Fibonacci pseudoprime Lucas pseudoprimes and Fibonacci pseudoprimes are composite integers that pass certain tests which all primes and very few composite numbers pass: in this case, criteria relative to some Lucas sequence. Baillie-Wagstaff-Lucas pseudoprimes Baill ...

. ''See 323 (disambiguation)''

324

324 = 2² × 3⁴ = 18². 324 is the sum of four consecutive primes (73 + 79 + 83 + 89), totient sum of the first 32 integers, a square number, and an untouchable number.

325

325 = 5² × 13. 325 is a triangular number,

hexagonal number A hexagonal number is a figurate number. The ''n''th hexagonal number ''h'n'' is the number of ''distinct'' dots in a pattern of dots consisting of the ''outlines'' of regular hexagons with sides up to n dots, when the hexagons are overlaid so ...

nonagonal number A nonagonal number (or an enneagonal number) is a figurate number that extends the concept of triangular and square numbers to the nonagon (a nine-sided polygon). However, unlike the triangular and square numbers, the patterns involved in the constr ...

, centered nonagonal number. 325 is the smallest number to be the sum of two squares in 3 different ways: 1² + 18², 6² + 17² and 10² + 15². 325 is also the smallest (and only known) 3-

hyperperfect number In mathematics, a ''k''-hyperperfect number is a natural number ''n'' for which the equality ''n'' = 1 + ''k''(''σ''(''n'') − ''n'' − 1) holds, where ''σ''(''n'') is the divisor function (i.e., the sum of all positive divisors of ''n ...

326

326 = 2 × 163. 326 is a nontotient, noncototient, and an untouchable number. 326 is the sum of the 14 consecutive primes (3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47), lazy caterer number .

327

327 = 3 × 109. 327 is a perfect totient number, number of compositions of 10 whose run-lengths are either weakly increasing or weakly decreasing

328

328 = 2³ × 41. 328 is a

refactorable number A refactorable number or tau number is an integer ''n'' that is divisible by the count of its divisors, or to put it algebraically, ''n'' is such that \tau(n)\mid n. The first few refactorable numbers are listed in as : 1, 2, 8, 9, 12, 18, ...

, and it is the sum of the first fifteen primes (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47).

329

329 = 7 × 47. 329 is the sum of three consecutive primes (107 + 109 + 113), and a

highly cototient number In number theory, a branch of mathematics, a highly cototient number is a positive integer k which is above 1 and has more solutions to the equation :x - \phi(x) = k than any other integer below k and above 1. Here, \phi is Euler's totient fun ...

330s

330

330 = 2 × 3 × 5 × 11. 330 is sum of six consecutive primes (43 + 47 + 53 + 59 + 61 + 67),

pentatope number A pentatope number is a number in the fifth cell of any row of Pascal's triangle starting with the 5-term row , either from left to right or from right to left. The first few numbers of this kind are: : 1, 5, 15, 35, 70, 126, 210, 330, 4 ...

(and hence a binomial coefficient

\tbinom 4

), a

pentagonal number A pentagonal number is a figurate number that extends the concept of triangular and square numbers to the pentagon, but, unlike the first two, the patterns involved in the construction of pentagonal numbers are not rotationally symmetrical. The ...

, divisible by the number of primes below it, and a

sparsely totient number In mathematics, a sparsely totient number is a certain kind of natural number. A natural number, ''n'', is sparsely totient if for all ''m'' > ''n'', :\varphi(m)>\varphi(n) where \varphi is Euler's totient function. The first few sparsely toti ...

331

331 is a prime number, super-prime,

cuban prime A cuban prime is a prime number that is also a solution to one of two different specific equations involving differences between third powers of two integers ''x'' and ''y''. First series This is the first of these equations: :p = \frac,\ x = ...

, sum of five consecutive primes (59 + 61 + 67 + 71 + 73),

centered pentagonal number A centered pentagonal number is a centered figurate number that represents a pentagon with a dot in the center and all other dots surrounding the center in successive pentagonal layers. The centered pentagonal number for ''n'' is given by th ...

, centered hexagonal number, and

Mertens function In number theory, the Mertens function is defined for all positive integers ''n'' as : M(n) = \sum_^n \mu(k), where \mu(k) is the Möbius function. The function is named in honour of Franz Mertens. This definition can be extended to positive re ...

returns 0.

332

332 = 2² × 83, Mertens function returns 0.

333

333 = 3² × 37, Mertens function returns 0, Symbolically, 333 is used to represent

Choronzon Choronzon is a demon that originated in writing with the 16th-century occultists Edward Kelley and John Dee within the latter's occult system of Enochian magic. In the 20th century he became an important element within the mystical system of Th ...

, a demon used in the philosophy of

Thelema Thelema () is a Western esoteric and occult social or spiritual philosophy and new religious movement founded in the early 1900s by Aleister Crowley (1875–1947), an English writer, mystic, occultist, and ceremonial magician. The word ' ...

334

334 = 2 × 167, nontotient. 334 was the long-time highest score for Australia in

Test cricket Test cricket is a form of first-class cricket played at international level between teams representing full member countries of the International Cricket Council (ICC). A match consists of four innings (two per team) and is scheduled to last f ...

(held by Sir Donald Bradman and Mark Taylor). ''

334 __NOTOC__ Year 334 ( CCCXXXIV) was a common year starting on Tuesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Optatus and Caesonius (or, less frequently, year 1087 ...

'' is also the name of a science fiction novel by

Thomas M. Disch Thomas Michael Disch (February 2, 1940 – July 4, 2008) was an American science fiction author and poet. He won the Hugo Award for Best Related Book – previously called "Best Non-Fiction Book" – in 1999, and he had two other Hugo nomination ...

335

335 = 5 × 67, divisible by the number of primes below it, number of Lyndon words of length 12.

336

336 = 2⁴ × 3 × 7, untouchable number, number of partitions of 41 into prime parts. Also the number of dimples on an American

golf ball A golf ball is a special ball designed to be used in the game of golf. Under the rules of golf, a golf ball has a mass no more than , has a diameter not less than , and performs within specified velocity, distance, and symmetry limits. Like g ...

337

337,

emirp An emirp (''prime'' spelled backwards) is a prime number that results in a different prime when its decimal digits are reversed. This definition excludes the related palindromic primes. The term ''reversible prime'' is used to mean the same as e ...

, permutable prime with 373 and 733, Chen prime,

star number A star number is a centered figurate number, a centered hexagram (six-pointed star), such as the Star of David, or the board Chinese checkers is played on. The ''n''th star number is given by the formula ''Sn'' = 6''n''(''n'' − 1) + 1. The ...

338

338 = 2 × 13², nontotient, number of square (0,1)-matrices without zero rows and with exactly 4 entries equal to 1.

339

339 = 3 × 113,

Ulam number In mathematics, the Ulam numbers comprise an integer sequence devised by and named after Stanislaw Ulam, who introduced it in 1964. The standard Ulam sequence (the (1, 2)-Ulam sequence) starts with ''U''1 = 1 and ''U''2 =&nbs ...

340s

340

340 = 2² × 5 × 17, sum of eight consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), sum of ten consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), sum of the first four powers of 4 (4¹ + 4² + 4³ + 4⁴), divisible by the number of primes below it, nontotient, noncototient. Number o
regions
formed by drawing the line segments connecting any two of the 12 perimeter points of a 3 times 3 grid of squares and .

341

341 = 11 × 31, sum of seven consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61),

octagonal number An octagonal number is a figurate number that represents an octagon. The octagonal number for ''n'' is given by the formula 3''n''2 - 2''n'', with ''n'' > 0. The first few octagonal numbers are : 1, 8, 21, 40, 65, 96, 133, 176, 225, 280, 34 ...

centered cube number A centered cube number is a centered figurate number that counts the number of points in a three-dimensional pattern formed by a point surrounded by concentric cubical layers of points, with points on the square faces of the th layer. Equival ...

super-Poulet number A super-Poulet number is a Poulet number, or pseudoprime to base 2, whose every divisor ''d'' divides :2''d'' − 2. For example, 341 is a super-Poulet number: it has positive divisors and we have: :(211 - 2) / 11 = 2046 / 11 = 186 :(231 - 2) ...

. 341 is the smallest

Fermat pseudoprime In number theory, the Fermat pseudoprimes make up the most important class of pseudoprimes that come from Fermat's little theorem. Definition Fermat's little theorem states that if ''p'' is prime and ''a'' is coprime to ''p'', then ''a'p''− ...

; it is the ''least'' ''composite'' ''odd'' modulus ''m'' greater than the base ''b'', that satisfies the ''Fermat'' property "''b''^''m''−1 − 1 is divisible by ''m''", for bases up to 128 of b = 2, 15, 60, 63, 78, and 108.

342

342 = 2 × 3² × 19, pronic number, Untouchable number.

343

343 = 7³, the first nice

Friedman number A Friedman number is an integer, which represented in a given numeral system, is the result of a non-trivial expression using all its own digits in combination with any of the four basic arithmetic operators (+, −, ×, ÷), additive inverses, pa ...

that is composite since 343 = (3 + 4)³. It's the only known example of x²+x+1 = y³, in this case, x=18, y=7. It is z³ in a triplet (x,y,z) such that x⁵ + y² = z³. The speed of sound in dry air at is 343 m/s (1,234.8 km/h)

344

344 = 2³ × 43,

octahedral number In number theory, an octahedral number is a figurate number that represents the number of spheres in an octahedron formed from close-packed spheres. The ''n''th octahedral number O_n can be obtained by the formula:. :O_n=. The first few octahed ...

, noncototient, totient sum of the first 33 integers, refactorable number.

345

345 = 3 × 5 × 23, sphenic number,

346

346 = 2 × 173, Smith number, noncototient.

347

347 is a prime number,

safe prime In number theory, a prime number ''p'' is a if 2''p'' + 1 is also prime. The number 2''p'' + 1 associated with a Sophie Germain prime is called a . For example, 11 is a Sophie Germain prime and 2 × 11 + ...

with no imaginary part,

, Friedman prime since 347 = 7³ + 4, and a strictly non-palindromic number. It is the number of an area code in New York.

348

348 = 2² × 3 × 29, sum of four consecutive primes (79 + 83 + 89 + 97),

349

349, prime number, sum of three consecutive primes (109 + 113 + 127), 5³⁴⁹ - 4³⁴⁹ is a prime number, since 1976 the number of seats in the Swedish parliament. 349 was the winning number of the Pepsi Number Fever grand prize draw on May 25, 1992, which had been printed on 800,000 bottles instead of the intended two. The resulting riots and lawsuits became known as the 349 incident.

350s

350

350 = 2 × 5² × 7 =

\left\

, primitive semiperfect number, divisible by the number of primes below it, nontotient, a truncated icosahedron of frequency 6 has 350 hexagonal faces and 12 pentagonal faces.

350.org 350.org is an international environmental organization addressing the climate crisis. Its stated goal is to end the use of fossil fuels and transition to renewable energy by building a global, grassroots movement. The 350 in the name stands fo ...

is an international environmental organization. 350 is the number of cubic inches displaced in the most common form of the Small Block Chevrolet V8. The number of seats in the

Congress of Deputies (Spain) The Congress of Deputies ( es, link=no, Congreso de los Diputados, italic=unset) is the lower house of the Cortes Generales, Spain's legislative branch. The Congress meets in the Palace of the Parliament () in Madrid. It has 350 members e ...

is 350.

351

351 = 3³ × 13, triangular number, sum of five consecutive primes (61 + 67 + 71 + 73 + 79), member of

Padovan sequence In number theory, the Padovan sequence is the sequence of integers ''P''(''n'') defined. by the initial values :P(0)=P(1)=P(2)=1, and the recurrence relation :P(n)=P(n-2)+P(n-3). The first few values of ''P''(''n'') are :1, 1, 1, 2, 2, 3, 4, 5 ...

and number of compositions of 15 into distinct parts. It is also the 351 Windsor engine from

Ford Motor Company Ford Motor Company (commonly known as Ford) is an American multinational automobile manufacturer headquartered in Dearborn, Michigan, United States. It was founded by Henry Ford and incorporated on June 16, 1903. The company sells automobi ...

as well as the 351 (building) in St. John's, Newfoundland and Labrador.

352

352 = 2⁵ × 11, the number of

n-Queens Problem The eight queens puzzle is the problem of placing eight chess queens on an 8×8 chessboard so that no two queens threaten each other; thus, a solution requires that no two queens share the same row, column, or diagonal. There are 92 solutions. ...

solutions for n = 9. It is the sum of two consecutive primes (173 + 179), lazy caterer number . The number of international appearances by

Kristine Lilly Kristine Marie Lilly Heavey (; born July 22, 1971) is an American retired soccer player. She was a member of the United States women's national team for 23 years and is the most-capped football player in the history of the sport (men's or wome ...

for the USA women's national

football (soccer) Association football, more commonly known as football or soccer, is a team sport played between two teams of 11 players who primarily use their feet to propel the ball around a rectangular field called a pitch. The objective of the game is ...

team, an all-time record for the sport. The country calling code for

Luxembourg Luxembourg ( ; lb, Lëtzebuerg ; french: link=no, Luxembourg; german: link=no, Luxemburg), officially the Grand Duchy of Luxembourg, ; french: link=no, Grand-Duché de Luxembourg ; german: link=no, Großherzogtum Luxemburg is a small lan ...

353

353 is a prime number, Chen prime,

Proth prime A Proth number is a natural number ''N'' of the form N = k \times 2^n +1 where ''k'' and ''n'' are positive integers, ''k'' is odd and 2^n > k. A Proth prime is a Proth number that is prime. They are named after the French mathematician François ...

, Eisenstein prime with no imaginary part, palindromic prime, and Mertens function returns 0. 353 is the base of the smallest 4th power that is the sum of 4 other 4th powers, discovered by Norrie in 1911: 353⁴ = 30⁴ + 120⁴ + 272⁴ + 315⁴. 353 is an index of a prime Lucas number.

354

354 = 2 × 3 × 59 = 1⁴ + 2⁴ + 3⁴ + 4⁴, sphenic number, nontotient, also

SMTP The Simple Mail Transfer Protocol (SMTP) is an Internet standard communication protocol for electronic mail transmission. Mail servers and other message transfer agents use SMTP to send and receive mail messages. User-level email clients ty ...

code meaning start of mail input. It is also sum of absolute value of the coefficients of Conway's polynomial.

355

355 = 5 × 71, Smith number, Mertens function returns 0, divisible by the number of primes below it. the numerator of the best simplified rational approximation of pi having a denominator of four digits or fewer. This fraction (355/113) is known as

Milü Milü (; "close ratio"), also known as Zulü ( Zu's ratio), is the name given to an approximation to (pi) found by Chinese mathematician and astronomer Zu Chongzhi in the 5th century. Using Liu Hui's algorithm (which is based on the areas of r ...

and provides an extremely accurate approximation for pi.

356

356 = 2² × 89, Mertens function returns 0.

357

357 = 3 × 7 × 17,

. 357 also refers to firearms or ammunition of .357 caliber, with the best-known cartridge of that size being the

.357 Magnum The .357 Smith & Wesson Magnum, .357 S&W Magnum, .357 Magnum, or 9×33mmR as it is known in unofficial metric designation, is a smokeless powder cartridge with a bullet diameter. It was created by Elmer Keith, Phillip B. Sharpe, and Douglas B. ...

. The

.357 SIG The .357 SIG (designated as the 357 Sig by the SAAMI and 357 SIG by the C.I.P. or 9×22mm in unofficial metric notation) is a bottlenecked rimless centerfire handgun cartridge developed by the Swiss- German firearms manufacturer SIG Sauer, ...

, whose name was inspired by the performance of the .357 Magnum, is actually a 9 mm or .355 caliber.

358

358 = 2 × 179, sum of six consecutive primes (47 + 53 + 59 + 61 + 67 + 71), Mertens function returns 0, number of ways to partition and then partition each cell (block) into subcells. It is the country calling code for

Finland Finland ( fi, Suomi ; sv, Finland ), officially the Republic of Finland (; ), is a Nordic country in Northern Europe. It shares land borders with Sweden to the northwest, Norway to the north, and Russia to the east, with the Gulf of B ...

359

359 is a prime number, safe prime, Eisenstein prime with no imaginary part, Chen prime, and strictly non-palindromic number.

360s

360

360 = triangular matchstick number.

361

361 = 19², centered triangular number,

centered octagonal number A centered octagonal number is a centered figurate number that represents an octagon with a dot in the center and all other dots surrounding the center dot in successive octagonal layers.. The centered octagonal numbers are the same as the od ...

centered decagonal number A centered decagonal number is a centered figurate number that represents a decagon with a dot in the center and all other dots surrounding the center dot in successive decagonal layers. The centered decagonal number for ''n'' is given by th ...

, member of the

Mian–Chowla sequence In mathematics, the Mian–Chowla sequence is an integer sequence defined recursively in the following way. The sequence starts with :a_1 = 1. Then for n>1, a_n is the smallest integer such that every pairwise sum :a_i + a_j is distinct, for ...

; also the number of positions on a standard 19 x 19 Go board. The Bahá'í calendar is based on 19 months of 19 days each.

362

362 = 2 × 181 = σ₂(19): sum of squares of divisors of 19, Mertens function returns 0, nontotient, noncototient.

363

363 = 3 × 11², sum of nine consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Mertens function returns 0, perfect totient number.

364

364 = 2² × 7 × 13,

tetrahedral number A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedron. The th tetrahedral number, , is the sum of the first triangular numbers, that is, ...

, sum of twelve consecutive primes (11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), Mertens function returns 0,

. It is a

repdigit In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number system (often implicitly decimal). The word is a portmanteau of repeated and digit. Example ...

in base 3 (111111), base 9 (444), base 25 (EE), base 27 (DD), base 51 (77) and base 90 (44). The total number of gifts received in the song "

The Twelve Days of Christmas The Twelve Days of Christmas, also known as Twelvetide, is a festive Christian season celebrating the Nativity of Jesus. In some Western ecclesiastical traditions, "Christmas Day" is considered the "First Day of Christmas" and the Twelve Days a ...

365

365 = 5 × 73

366

366 = 2 × 3 × 61,

, Mertens function returns 0, noncototient, number of complete partitions of 20, 26-gonal and 123-gonal. Also, the number of days in a

leap year A leap year (also known as an intercalary year or bissextile year) is a calendar year that contains an additional day (or, in the case of a lunisolar calendar, a month) added to keep the calendar year synchronized with the astronomical year or ...

367

367 is a prime number,

Perrin number In mathematics, the Perrin numbers are defined by the recurrence relation : for , with initial values :. The sequence of Perrin numbers starts with : 3, 0, 2, 3, 2, 5, 5, 7, 10, 12, 17, 22, 29, 39, ... The number of different maxima ...

, prime index prime and a strictly non-palindromic number.

368

368 = 2⁴ × 23. It is also a

369

369 = 3² × 41, it is the magic constant of the 9 × 9 normal magic square and ''n''-queens problem for ''n'' = 9; there are 369 free

polyomino A polyomino is a plane geometric figure formed by joining one or more equal squares edge to edge. It is a polyform whose cells are squares. It may be regarded as a finite subset of the regular square tiling. Polyominoes have been used in pop ...

es of order 8. With 370, a

Ruth–Aaron pair In mathematics, a Ruth–Aaron pair consists of two consecutive integers (e.g., 714 and 715) for which the sums of the prime factors of each integer are equal: :714 = 2 × 3 × 7 × 17, :715 = 5 × 11 × 13, and : 2 + 3 + 7 + 17 = 5 + 11 + 13 ...

with only distinct prime factors counted.

370s

370

370 = 2 × 5 × 37, sphenic number, sum of four consecutive primes (83 + 89 + 97 + 101), nontotient, with 369 part of a Ruth–Aaron pair with only distinct prime factors counted,

Base 10 The decimal numeral system (also called the base-ten positional numeral system and denary or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numer ...

Armstrong number In number theory, a narcissistic number 1 F_ : \mathbb \rightarrow \mathbb to be the following: : F_(n) = \sum_^ d_i^k. where k = \lfloor \log_ \rfloor + 1 is the number of digits in the number in base b, and : d_i = \frac is the value of each d ...

since 3³ + 7³ + 0³ = 370.

System/370 The IBM System/370 (S/370) is a model range of IBM mainframe computers announced on June 30, 1970, as the successors to the System/360 family. The series mostly maintains backward compatibility with the S/360, allowing an easy migration path ...

is a computing architecture from IBM.

371

371 = 7 × 53, sum of three consecutive primes (113 + 127 + 131), sum of seven consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67), sum of the primes from its least to its greatest prime factor , the next such composite number is 2935561623745,

since 3³ + 7³ + 1³ = 371.

372

372 = 2² × 3 × 31, sum of eight consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61),

, refactorable number.

373

373, prime number, balanced prime, two-sided prime, sum of five consecutive primes (67 + 71 + 73 + 79 + 83), permutable prime with 337 and 733, palindromic prime in 3 consecutive bases: 565₈ = 454₉ = 373₁₀ and also in base 4: 11311₄.

374

374 = 2 × 11 × 17,

, nontotient, 374⁴ + 1 is prime.

375

375 = 3 × 5³, number of regions in regular 11-gon with all diagonals drawn.

376

376 = 2³ × 47,

, 1-

automorphic number In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b whose square "ends" in the same digits as the number itself. Definition and properties Given a number base b, a natura ...

, nontotient, refactorable number.

377

377 = 13 × 29,

Fibonacci number In mathematics, the Fibonacci numbers, commonly denoted , form a sequence, the Fibonacci sequence, in which each number is the sum of the two preceding ones. The sequence commonly starts from 0 and 1, although some authors start the sequence from ...

, a

centered octahedral number A centered octahedral number or Haüy octahedral number is a figurate number that counts the number of points of a three-dimensional integer lattice that lie inside an octahedron centered at the origin. The same numbers are special cases of t ...

, a Lucas and

, the sum of the squares of the first six primes, a common approximation for the

impedance of free space The impedance of free space, , is a physical constant relating the magnitudes of the electric and magnetic fields of electromagnetic radiation travelling through free space. That is, , where is the electric field strength and is the magnetic fie ...

in ohms. 377 is an approximation of 2π60, which crops up frequently in calculations involving 60 Hz AC power.

378

378 = 2 × 3³ × 7, triangular number,

cake number In mathematics, the cake number, denoted by ''Cn'', is the maximum of the number of regions into which a 3-dimensional cube can be partitioned by exactly ''n'' planes. The cake number is so-called because one may imagine each partition of the cu ...

, hexagonal number, Smith number.

379

379 is a prime number, Chen prime, lazy caterer number and a happy number in base 10. It is the sum of the 15 consecutive primes (3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53). 379! - 1 is prime.

380s

380

380 = 2² × 5 × 19, pronic number,Number of regions into which a figure made up of a row of 6 adjacent congruent rectangles is divided upon drawing diagonals of all possible rectangles
and .

381

381 = 3 × 127, palindromic in base 2 and base 8. It is the sum of the first 16 prime numbers (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53).

382

382 = 2 × 191, sum of ten consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Smith number.

383

383, prime number, safe prime,

Woodall prime In number theory, a Woodall number (''W'n'') is any natural number of the form :W_n = n \cdot 2^n - 1 for some natural number ''n''. The first few Woodall numbers are: :1, 7, 23, 63, 159, 383, 895, … . History Woodall numbers were first st ...

Thabit number In number theory, a Thabit number, Thâbit ibn Qurra number, or 321 number is an integer of the form 3 \cdot 2^n - 1 for a non-negative integer ''n''. The first few Thabit numbers are: : 2, 5, 11, 23, 47, 95, 191, 383, 767, 1535, 3071, 61 ...

, Eisenstein prime with no imaginary part, palindromic prime. It is also the first number where the sum of a prime and the reversal of the prime is also a prime. 4³⁸³ - 3³⁸³ is prime.

384

385

385 = 5 × 7 × 11,

, square pyramidal number, the number of

integer partitions In number theory and combinatorics, a partition of a positive integer , also called an integer partition, is a way of writing as a sum of positive integers. Two sums that differ only in the order of their summands are considered the same parti ...

of 18. 385 = 10² + 9² + 8² + 7² + 6² + 5² + 4² + 3² + 2² + 1²

386

386 = 2 × 193, nontotient, noncototient, centered heptagonal number, number of surface points on a cube with edge-length 9. 386 is also shorthand for the

Intel 80386 The Intel 386, originally released as 80386 and later renamed i386, is a 32-bit microprocessor introduced in 1985. The first versions had 275,000 transistors emirp An emirp (''prime'' spelled backwards) is a prime number that results in a different prime when its decimal digits are reversed. This definition excludes the related palindromic primes. The term ''reversible prime'' is used to mean the same as e ...

, Eisenstein prime with no imaginary part, Chen prime, highly cototient number, strictly non-palindromic number. Smallest conductor of a rank 2

Elliptic curve In mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point . An elliptic curve is defined over a field and describes points in , the Cartesian product of with itself. If ...

. Also, 389 equals the displacement in cubic inches of the famous Pontiac GTO V-8 engine of 1964–66. The

port number In computer networking, a port is a number assigned to uniquely identify a connection endpoint and to direct data to a specific service. At the software level, within an operating system, a port is a logical construct that identifies a specific ...

for

LDAP The Lightweight Directory Access Protocol (LDAP ) is an open, vendor-neutral, industry standard application protocol for accessing and maintaining distributed directory information services over an Internet Protocol (IP) network. Directory servi ...

, and the name for the

Fedora Directory Server The 389 Directory Server (previously Fedora Directory Server) is a Lightweight Directory Access Protocol (LDAP) server developed by Red Hat as part of the community-supported Fedora Project. The name "389" derives from the port number used by LD ...

project.

390s

390

390 = 2 × 3 × 5 × 13, sum of four consecutive primes (89 + 97 + 101 + 103), nontotient, :

\sum_^^

is prime

System/390 The IBM System/390 is a discontinued mainframe product family implementing the ESA/390, the fifth generation of the System/360 instruction set architecture. The first computers to use the ESA/390 were the Enterprise System/9000 (ES/9000 ...

is a computing architecture from IBM.

391

391 = 17 × 23, Smith number,

392

392 = 2³ × 7²,

Achilles number An Achilles number is a number that is powerful but not a perfect power. A positive integer is a powerful number if, for every prime factor of , is also a divisor. In other words, every prime factor appears at least squared in the factoriza ...

393

393 = 3 × 131,

, Mertens function returns 0. 393 is the number of

county A county is a geographic region of a country used for administrative or other purposes Chambers Dictionary, L. Brookes (ed.), 2005, Chambers Harrap Publishers Ltd, Edinburgh in certain modern nations. The term is derived from the Old French ...

equivalents in Canada

394

394 = 2 × 197 = S₅ a

Schröder number In mathematics, the Schröder number S_n, also called a ''large Schröder number'' or ''big Schröder number'', describes the number of lattice paths from the southwest corner (0,0) of an n \times n grid to the northeast corner (n,n), using only ...

, nontotient, noncototient.

395

395 = 5 × 79, sum of three consecutive primes (127 + 131 + 137), sum of five consecutive primes (71 + 73 + 79 + 83 + 89), number of (unordered, unlabeled) rooted trimmed trees with 11 nodes.

396

396 = 2² × 3² × 11, sum of twin primes (197 + 199), totient sum of the first 36 integers, refactorable number, Harshad number, digit-reassembly number. 396 also refers to the displacement in cubic inches of early

Chevrolet Big-Block engine The Chevrolet "big block" engine is a term for a series of large-displacement, naturally-aspirated, 90°, overhead valve, gasoline-powered, V-8 engines; that were developed and produced by the Chevrolet Division of General Motors, from the ...

397

397, prime number, cuban prime, centered hexagonal number.

398

398 = 2 × 199, nontotient. :

\sum_^^

is prime

399

399 = 3 × 7 × 19, sphenic number, smallest Lucas–Carmichael number, Leyland number of the second kind. 399! + 1 is prime.

References

{{Integers, 3 Integers