364
364 is a composite number, even, a calendar year.
364 (three hundred sixty-four) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 13. Its proper divisors sum to 420, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CCCLXIV and in binary, 101101100.
Interestingness
Historical context — 364 AD
Calendar year
Year 364 (CCCLXIV) was a leap year starting on Thursday of the Julian calendar.
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Historical context — 364 BC
Calendar year
Year 364 BC was a year of the pre-Julian Roman calendar.
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Year facts
- Year type
-
Leap year
Divisible by 4 and not by 100; February has 29 days.
- Days in year
- 366
- ISO weeks
-
53
Long year: contains 53 ISO weeks.
- Started on
-
Wednesday
January 1, 364
- Ended on
-
Thursday
December 31, 364
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
360s
360–369
- Century
-
4th century
301–400
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,662
1662 years before 2026.
In other calendars
- Hebrew
-
4124 / 4125 AM
Rosh Hashanah falls in September/October.
- Chinese
-
Year of the zodiac:Wood zodiac:Rat
Sexagenary cycle position 1 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
907 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Ethiopian
-
356 / 357 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
286 / 285 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 2 × 7 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√364 = [19; (12, 1, 2, 3, 1, 8, 1, 3, 2, 1, 12, 38)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- three hundred sixty-four
- Ordinal
- 364th
- Roman numeral
- CCCLXIV
- Binary
- 101101100
- Octal
- 554
- Hexadecimal
- 0x16C
- Base64
- AWw=
- One's complement
- 65,171 (16-bit)
- Scientific notation
- 3.64 × 10²
- As a duration
- 364 s = 6 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- τξδʹ
- Mayan (base 20)
- 𝋲·𝋤
- Chinese
- 三百六十四
- Chinese (financial)
- 參佰陸拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 364 = 1
- e — Euler's number (e)
- Digit 364 = 9
- φ — Golden ratio (φ)
- Digit 364 = 8
- √2 — Pythagoras's (√2)
- Digit 364 = 5
- ln 2 — Natural log of 2
- Digit 364 = 4
- γ — Euler-Mascheroni (γ)
- Digit 364 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 364, here are decompositions:
- 5 + 359 = 364
- 11 + 353 = 364
- 17 + 347 = 364
- 47 + 317 = 364
- 53 + 311 = 364
- 71 + 293 = 364
- 83 + 281 = 364
- 101 + 263 = 364
Showing the first eight; more decompositions exist.
UTF-8 encoding: C5 AC (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.108.
- Address
- 0.0.1.108
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.1.108
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The number 364 is an active NANP area code (North American Numbering Plan).
- Primary area
- Bowling Green
- Region
- Kentucky
- 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, 364 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F♯4 (370 Hz, -28¢)
- Scientific pitch (C4 = 256 Hz): F♯4 (362 Hz, +9¢)
- Baroque pitch (A4 = 415 Hz): G4 (369.7 Hz, -27¢)
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.