Number

357

357 is a composite number, odd, a calendar year.

357 (three hundred fifty-seven) is an odd 3-digit number. It is a composite number with 8 divisors, and factors as 3 × 7 × 17. Written other ways, in Roman numerals it is CCCLVII and in binary, 101100101.

Arithmetic Number Ascending Digits Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Stepped Digits Year

Interestingness

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7 notable facts · grade B

345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369

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Historical context — 357 AD

Calendar year

Year 357 (CCCLVII) was a common year starting on Wednesday of the Julian calendar.

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

Historical context — 357 BC

Calendar year

Year 357 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: 52
Started on: Tuesday
January 1, 357
Ended on: Tuesday
December 31, 357
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 350s
350–359
Century: 4th century
301–400
Millennium: 1st millennium
1–1000
Years ago: 1,669
1669 years before 2026.

In other calendars

Hebrew: 4117 / 4118 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Fire zodiac:Snake
Sexagenary cycle position 54 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 900 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 349 / 350 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 279 / 278 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 15
Digit product: 105
Digital root: 6
Palindrome: No
Bit width: 9 bits
Reversed: 753
Recamán's sequence: a(534) = 357
Square (n²): 127,449
Cube (n³): 45,499,293
Divisor count: 8
σ(n) — sum of divisors: 576
φ(n) — Euler's totient: 192
Sum of prime factors: 27

Primality

Prime factorization: 3 × 7 × 17

Nearest primes: 353 (−4) · 359 (+2)

Divisors & multiples

All divisors (8)

1 · 3 · 7 · 17 · 21 · 51 · 119 · 357

Aliquot sum (sum of proper divisors): 219

Factor pairs (a × b = 357)

1 × 357

3 × 119

7 × 51

17 × 21

First multiples

357 · 714 (double) · 1,071 · 1,428 · 1,785 · 2,142 · 2,499 · 2,856 · 3,213 · 3,570

Sums & aliquot sequence

As consecutive integers: 178 + 179 118 + 119 + 120 57 + 58 + 59 + 60 + 61 + 62 48 + 49 + … + 54

Aliquot sequence: 357 → 219 → 77 → 19 → 1 → 0 — terminates at zero

Continued fraction of √n

√357 = [18; (1, 8, 2, 8, 1, 36)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: three hundred fifty-seven
Ordinal: 357th
Roman numeral: CCCLVII
Binary: 101100101
Octal: 545
Hexadecimal: 0x165
Base64: AWU=
One's complement: 65,178 (16-bit)
Scientific notation: 3.57 × 10²
As a duration: 357 s = 5 minutes, 57 seconds

In other bases

ternary (3) 111020

quaternary (4) 11211

quinary (5) 2412

senary (6) 1353

septenary (7) 1020

nonary (9) 436

undecimal (11) 2a5

duodecimal (12) 259

tridecimal (13) 216

tetradecimal (14) 1b7

pentadecimal (15) 18c

Palindromic in base 4, base 8

As an angle

357°

357° ≈ 6.231 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): τνζʹ
Mayan (base 20): 𝋱·𝋱
Chinese: 三百五十七
Chinese (financial): 參佰伍拾柒

In other modern scripts

Eastern Arabic ٣٥٧ Devanagari ३५७ Bengali ৩৫৭ Tamil ௩௫௭ Thai ๓๕๗ Tibetan ༣༥༧ Khmer ៣៥៧ Lao ໓໕໗ Burmese ၃၅၇

Digit at this position in famous constants

π — Pi (π): Digit 357 = 9
e — Euler's number (e): Digit 357 = 1
φ — Golden ratio (φ): Digit 357 = 7
√2 — Pythagoras's (√2): Digit 357 = 6
ln 2 — Natural log of 2: Digit 357 = 7
γ — Euler-Mascheroni (γ): Digit 357 = 8

Also seen as

Unicode codepoint

Latin Small Letter T With Caron

U+0165

Lowercase letter (Ll)

UTF-8 encoding: C5 A5 (2 bytes).

Lookup U+0165 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000165

RGB(0, 1, 101)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.101.

Address: 0.0.1.101
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.101

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

Musical pitch

Heard as a frequency, 357 Hz is closest to:

Concert pitch (A4 = 440 Hz): F4 (349.2 Hz, +38¢)
Scientific pitch (C4 = 256 Hz): F♯4 (362 Hz, -24¢)
Baroque pitch (A4 = 415 Hz): F♯4 (349 Hz, +39¢)