314
314 is a composite number, even, a calendar year.
314 (three hundred fourteen) is an even 3-digit number. It is a composite number with 4 divisors, and factors as 2 × 157. Written other ways, in Roman numerals it is CCCXIV and in binary, 100111010.
Interestingness
Historical context — 314 AD
Calendar year
Year 314 (CCCXIV) was a common year starting on Friday of the Julian calendar.
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Historical context — 314 BC
Calendar year
Year 314 BC was a year of the pre-Julian Roman calendar.
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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
Primality
Prime factorization: 2 × 157
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√314 = [17; (1, 2, 1, 1, 2, 1, 34)]
Period length 7 — the block in parentheses repeats forever.
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)
- Scientific notation
- 3.14 × 10²
- As a duration
- 314 s = 5 minutes, 14 seconds
As an angle
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
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'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.
UTF-8 encoding: C4 BA (2 bytes).
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.
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.
Heard as a frequency, 314 Hz is closest to:
- Concert pitch (A4 = 440 Hz): D♯4 (311.1 Hz, +16¢)
- Scientific pitch (C4 = 256 Hz): E4 (322.5 Hz, -46¢ — about midway to D♯4)
- Baroque pitch (A4 = 415 Hz): E4 (310.9 Hz, +17¢)
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.