Number

372

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

372 (three hundred seventy-two) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 31. Its proper divisors sum to 524, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CCCLXXII and in binary, 101110100.

Abundant Number Cube-Free Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384

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Historical context — 372 AD

Calendar year

Year 372 (CCCLXXII) was a leap year starting on Sunday of the Julian calendar.

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

Historical context — 372 BC

Calendar year

Year 372 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: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Saturday
January 1, 372
Ended on: Sunday
December 31, 372
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 370s
370–379
Century: 4th century
301–400
Millennium: 1st millennium
1–1000
Years ago: 1,654
1654 years before 2026.

In other calendars

Hebrew: 4132 / 4133 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 915 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 364 / 365 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 294 / 293 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 12
Digit product: 42
Digital root: 3
Palindrome: No
Bit width: 9 bits
Reversed: 273
Recamán's sequence: a(4,823) = 372
Square (n²): 138,384
Cube (n³): 51,478,848
Divisor count: 12
σ(n) — sum of divisors: 896
φ(n) — Euler's totient: 120
Sum of prime factors: 38

Primality

Prime factorization: 2 ² × 3 × 31

Nearest primes: 367 (−5) · 373 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 31 · 62 · 93 · 124 · 186 (half) · 372

Aliquot sum (sum of proper divisors): 524

Factor pairs (a × b = 372)

1 × 372

2 × 186

3 × 124

4 × 93

6 × 62

12 × 31

First multiples

372 · 744 (double) · 1,116 · 1,488 · 1,860 · 2,232 · 2,604 · 2,976 · 3,348 · 3,720

Sums & aliquot sequence

As consecutive integers: 123 + 124 + 125 43 + 44 + … + 50 4 + 5 + … + 27

Aliquot sequence: 372 → 524 → 400 → 561 → 303 → 105 → 87 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Continued fraction of √n

√372 = [19; (3, 2, 12, 2, 3, 38)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: three hundred seventy-two
Ordinal: 372nd
Roman numeral: CCCLXXII
Binary: 101110100
Octal: 564
Hexadecimal: 0x174
Base64: AXQ=
One's complement: 65,163 (16-bit)
Scientific notation: 3.72 × 10²
As a duration: 372 s = 6 minutes, 12 seconds

In other bases

ternary (3) 111210

quaternary (4) 11310

quinary (5) 2442

senary (6) 1420

septenary (7) 1041

nonary (9) 453

undecimal (11) 309

duodecimal (12) 270

tridecimal (13) 228

tetradecimal (14) 1c8

pentadecimal (15) 19c

Palindromic in base 5

As an angle

372° = 1 × 360° + 12°

12° ≈ 0.209 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): τοβʹ
Mayan (base 20): 𝋲·𝋬
Chinese: 三百七十二
Chinese (financial): 參佰柒拾貳

In other modern scripts

Eastern Arabic ٣٧٢ Devanagari ३७२ Bengali ৩৭২ Tamil ௩௭௨ Thai ๓๗๒ Tibetan ༣༧༢ Khmer ៣៧២ Lao ໓໗໒ Burmese ၃၇၂

Digit at this position in famous constants

π — Pi (π): Digit 372 = 4
e — Euler's number (e): Digit 372 = 2
φ — Golden ratio (φ): Digit 372 = 6
√2 — Pythagoras's (√2): Digit 372 = 3
ln 2 — Natural log of 2: Digit 372 = 5
γ — Euler-Mascheroni (γ): Digit 372 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 372, here are decompositions:

5 + 367 = 372
13 + 359 = 372
19 + 353 = 372
23 + 349 = 372
41 + 331 = 372
59 + 313 = 372
61 + 311 = 372
79 + 293 = 372

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter W With Circumflex

U+0174

Uppercase letter (Lu)

UTF-8 encoding: C5 B4 (2 bytes).

Lookup U+0174 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000174

RGB(0, 1, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.116.

Address: 0.0.1.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.116

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

Musical pitch

Heard as a frequency, 372 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯4 (370 Hz, +9¢)
Scientific pitch (C4 = 256 Hz): F♯4 (362 Hz, +47¢ — about midway to G4)
Baroque pitch (A4 = 415 Hz): G4 (369.7 Hz, +11¢)