Number

318

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

318 (three hundred eighteen) is an even 3-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 53. Its proper divisors sum to 330, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CCCXVIII and in binary, 100111110.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330

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Historical context — 318 AD

Calendar year

Year 318 (CCCXVIII) 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 — 318 BC

Calendar year

Year 318 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, 318
Ended on: Tuesday
December 31, 318
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 310s
310–319
Century: 4th century
301–400
Millennium: 1st millennium
1–1000
Years ago: 1,708
1708 years before 2026.

In other calendars

Hebrew: 4078 / 4079 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Earth zodiac:Tiger
Sexagenary cycle position 15 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 861 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 310 / 311 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 240 / 239 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 12
Digit product: 24
Digital root: 3
Palindrome: No
Bit width: 9 bits
Reversed: 813
Recamán's sequence: a(612) = 318
Square (n²): 101,124
Cube (n³): 32,157,432
Divisor count: 8
σ(n) — sum of divisors: 648
φ(n) — Euler's totient: 104
Sum of prime factors: 58

Primality

Prime factorization: 2 × 3 × 53

Nearest primes: 317 (−1) · 331 (+13)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 53 · 106 · 159 (half) · 318

Aliquot sum (sum of proper divisors): 330

Factor pairs (a × b = 318)

1 × 318

2 × 159

3 × 106

6 × 53

First multiples

318 · 636 (double) · 954 · 1,272 · 1,590 · 1,908 · 2,226 · 2,544 · 2,862 · 3,180

Sums & aliquot sequence

As consecutive integers: 105 + 106 + 107 78 + 79 + 80 + 81 21 + 22 + … + 32

Aliquot sequence: 318 → 330 → 534 → 546 → 798 → 1,122 → 1,470 → 2,634 → 2,646 → 4,194 → 4,932 → 7,626 → 8,502 → 9,978 → 9,990 → 17,370 → 28,026 — unresolved within range

Continued fraction of √n

√318 = [17; (1, 4, 1, 34)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: three hundred eighteen
Ordinal: 318th
Roman numeral: CCCXVIII
Binary: 100111110
Octal: 476
Hexadecimal: 0x13E
Base64: AT4=
One's complement: 65,217 (16-bit)
Scientific notation: 3.18 × 10²
As a duration: 318 s = 5 minutes, 18 seconds

In other bases

ternary (3) 102210

quaternary (4) 10332

quinary (5) 2233

senary (6) 1250

septenary (7) 633

nonary (9) 383

undecimal (11) 26a

duodecimal (12) 226

tridecimal (13) 1b6

tetradecimal (14) 18a

pentadecimal (15) 163

Palindromic in base 9

As an angle

318°

318° ≈ 5.55 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): τιηʹ
Mayan (base 20): 𝋯·𝋲
Chinese: 三百一十八
Chinese (financial): 參佰壹拾捌

In other modern scripts

Eastern Arabic ٣١٨ Devanagari ३१८ Bengali ৩১৮ Tamil ௩௧௮ Thai ๓๑๘ Tibetan ༣༡༨ Khmer ៣១៨ Lao ໓໑໘ Burmese ၃၁၈

Digit at this position in famous constants

π — Pi (π): Digit 318 = 8
e — Euler's number (e): Digit 318 = 6
φ — Golden ratio (φ): Digit 318 = 7
√2 — Pythagoras's (√2): Digit 318 = 0
ln 2 — Natural log of 2: Digit 318 = 7
γ — Euler-Mascheroni (γ): Digit 318 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 318, here are decompositions:

5 + 313 = 318
7 + 311 = 318
11 + 307 = 318
37 + 281 = 318
41 + 277 = 318
47 + 271 = 318
61 + 257 = 318
67 + 251 = 318

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Small Letter L With Caron

U+013E

Lowercase letter (Ll)

UTF-8 encoding: C4 BE (2 bytes).

Lookup U+013E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00013E

RGB(0, 1, 62)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.62.

Address: 0.0.1.62
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.62

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

NANP area code 318

The number 318 is an active NANP area code (North American Numbering Plan).

Primary area: Shreveport / Monroe
Region: Louisiana
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 318 ↗

Musical pitch

Heard as a frequency, 318 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯4 (311.1 Hz, +38¢)
Scientific pitch (C4 = 256 Hz): E4 (322.5 Hz, -25¢)
Baroque pitch (A4 = 415 Hz): E4 (310.9 Hz, +39¢)