Number

370

370 is a composite number, even, a calendar year.

370 (three hundred seventy) is an even 3-digit number. It is a composite number with 8 divisors, and factors as 2 × 5 × 37. Written other ways, in Roman numerals it is CCCLXX and in binary, 101110010.

Cube-Free Decagonal Deficient Number Harshad / Niven Moran Number Narcissistic / Armstrong Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Year

Interestingness

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8 notable facts · grade A

358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382

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Historical context — 370 AD

Calendar year

Year 370 (CCCLXX) was a common year starting on Friday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 370 BC

Calendar year

Year 370 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 370
Ended on: Thursday
December 31, 370
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 370s
370–379
Century: 4th century
301–400
Millennium: 1st millennium
1–1000
Years ago: 1,656
1656 years before 2026.

In other calendars

Hebrew: 4130 / 4131 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Metal zodiac:Horse
Sexagenary cycle position 7 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 913 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 362 / 363 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 292 / 291 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 9 bits
Reversed: 73
Recamán's sequence: a(108) = 370
Square (n²): 136,900
Cube (n³): 50,653,000
Divisor count: 8
σ(n) — sum of divisors: 684
φ(n) — Euler's totient: 144
Sum of prime factors: 44

Primality

Prime factorization: 2 × 5 × 37

Nearest primes: 367 (−3) · 373 (+3)

Divisors & multiples

All divisors (8)

1 · 2 · 5 · 10 · 37 · 74 · 185 (half) · 370

Aliquot sum (sum of proper divisors): 314

Factor pairs (a × b = 370)

1 × 370

2 × 185

5 × 74

10 × 37

First multiples

370 · 740 (double) · 1,110 · 1,480 · 1,850 · 2,220 · 2,590 · 2,960 · 3,330 · 3,700

Sums & aliquot sequence

As a sum of two squares: 3² + 19² = 9² + 17²

As a sum of two cubes: 3³ + 7³

As consecutive integers: 91 + 92 + 93 + 94 72 + 73 + 74 + 75 + 76 9 + 10 + … + 28

Aliquot sequence: 370 → 314 → 160 → 218 → 112 → 136 → 134 → 70 → 74 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√370 = [19; (4, 4, 38)]

Period length 3 — the block in parentheses repeats forever.

Representations

In words: three hundred seventy
Ordinal: 370th
Roman numeral: CCCLXX
Binary: 101110010
Octal: 562
Hexadecimal: 0x172
Base64: AXI=
One's complement: 65,165 (16-bit)
Scientific notation: 3.7 × 10²
As a duration: 370 s = 6 minutes, 10 seconds

In other bases

ternary (3) 111201

quaternary (4) 11302

quinary (5) 2440

senary (6) 1414

septenary (7) 1036

nonary (9) 451

undecimal (11) 307

duodecimal (12) 26a

tridecimal (13) 226

tetradecimal (14) 1c6

pentadecimal (15) 19a

As an angle

370° = 1 × 360° + 10°

10° ≈ 0.175 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): τοʹ
Mayan (base 20): 𝋲·𝋪
Chinese: 三百七十
Chinese (financial): 參佰柒拾

In other modern scripts

Eastern Arabic ٣٧٠ Devanagari ३७० Bengali ৩৭০ Tamil ௩௭௦ Thai ๓๗๐ Tibetan ༣༧༠ Khmer ៣៧០ Lao ໓໗໐ Burmese ၃၇၀

Digit at this position in famous constants

π — Pi (π): Digit 370 = 0
e — Euler's number (e): Digit 370 = 9
φ — Golden ratio (φ): Digit 370 = 8
√2 — Pythagoras's (√2): Digit 370 = 0
ln 2 — Natural log of 2: Digit 370 = 0
γ — Euler-Mascheroni (γ): Digit 370 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 370, here are decompositions:

3 + 367 = 370
11 + 359 = 370
17 + 353 = 370
23 + 347 = 370
53 + 317 = 370
59 + 311 = 370
89 + 281 = 370
101 + 269 = 370

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter U With Ogonek

U+0172

Uppercase letter (Lu)

UTF-8 encoding: C5 B2 (2 bytes).

Lookup U+0172 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000172

RGB(0, 1, 114)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.114.

Address: 0.0.1.114
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.114

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 370 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯4 (370 Hz, exact)
Scientific pitch (C4 = 256 Hz): F♯4 (362 Hz, +38¢)
Baroque pitch (A4 = 415 Hz): G4 (369.7 Hz, +1¢)