Number

314

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

Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 314 AD

Calendar year

Year 314 (CCCXIV) was a common year starting on Friday of the Julian calendar.

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

Historical context — 314 BC

Calendar year

Year 314 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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, 314
Ended on: Thursday
December 31, 314
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 310s
310–319
Century: 4th century
301–400
Millennium: 1st millennium
1–1000
Years ago: 1,712
1712 years before 2026.

In other calendars

Hebrew: 4074 / 4075 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Wood zodiac:Dog
Sexagenary cycle position 11 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 857 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 306 / 307 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 236 / 235 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 8
Digit product: 12
Digital root: 8
Palindrome: No
Bit width: 9 bits
Reversed: 413
Recamán's sequence: a(620) = 314
Square (n²): 98,596
Cube (n³): 30,959,144
Divisor count: 4
σ(n) — sum of divisors: 474
φ(n) — Euler's totient: 156
Sum of prime factors: 159

Primality

Prime factorization: 2 × 157

Nearest primes: 313 (−1) · 317 (+3)

Divisors & multiples

All divisors (4)

1 · 2 · 157 (half) · 314

Aliquot sum (sum of proper divisors): 160

Factor pairs (a × b = 314)

1 × 314

2 × 157

First multiples

314 · 628 (double) · 942 · 1,256 · 1,570 · 1,884 · 2,198 · 2,512 · 2,826 · 3,140

Sums & aliquot sequence

As a sum of two squares: 5² + 17²

As consecutive integers: 77 + 78 + 79 + 80

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

Representations

In words: three hundred fourteen
Ordinal: 314th
Roman numeral: CCCXIV
Binary: 100111010
Octal: 472
Hexadecimal: 0x13A
Base64: ATo=
One's complement: 65,221 (16-bit)

In other bases

ternary (3) 102122

quaternary (4) 10322

quinary (5) 2224

senary (6) 1242

septenary (7) 626

nonary (9) 378

undecimal (11) 266

duodecimal (12) 222

tridecimal (13) 1b2

tetradecimal (14) 186

pentadecimal (15) 15e

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): τιδʹ
Mayan (base 20): 𝋯·𝋮
Chinese: 三百一十四
Chinese (financial): 參佰壹拾肆

In other modern scripts

Eastern Arabic ٣١٤ Devanagari ३१४ Bengali ৩১৪ Tamil ௩௧௪ Thai ๓๑๔ Tibetan ༣༡༤ Khmer ៣១៤ Lao ໓໑໔ Burmese ၃၁၄

Digit at this position in famous constants

π — Pi (π): Digit 314 = 3
e — Euler's number (e): Digit 314 = 6
φ — Golden ratio (φ): Digit 314 = 3
√2 — Pythagoras's (√2): Digit 314 = 3
ln 2 — Natural log of 2: Digit 314 = 9
γ — Euler-Mascheroni (γ): Digit 314 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 314, here are decompositions:

3 + 311 = 314
7 + 307 = 314
31 + 283 = 314
37 + 277 = 314
43 + 271 = 314
73 + 241 = 314
103 + 211 = 314
151 + 163 = 314

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Small Letter L With Acute

U+013A

Lowercase letter (Ll)

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

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

Hex color

#00013A

RGB(0, 1, 58)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.58.

Address: 0.0.1.58
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.58

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

NANP area code 314

The number 314 is an active NANP area code (North American Numbering Plan).

Primary area: St. Louis
Region: Missouri
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 314 ↗

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number

000000314

Federal Reserve

United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Look up on FedACH (official) ↗ Search Google for routing number 000000314 ↗