Number

364

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

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Tetrahedral Year

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.

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

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

Parity: Even
Digit count: 3
Digit sum: 13
Digit product: 72
Digital root: 4
Palindrome: No
Bit width: 9 bits
Reversed: 463
Recamán's sequence: a(9,072) = 364
Square (n²): 132,496
Cube (n³): 48,228,544
Divisor count: 12
σ(n) — sum of divisors: 784
φ(n) — Euler's totient: 144
Sum of prime factors: 24

Primality

Prime factorization: 2 ² × 7 × 13

Nearest primes: 359 (−5) · 367 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 13 · 14 · 26 · 28 · 52 · 91 · 182 (half) · 364

Aliquot sum (sum of proper divisors): 420

Factor pairs (a × b = 364)

1 × 364

2 × 182

4 × 91

7 × 52

13 × 28

14 × 26

First multiples

364 · 728 (double) · 1,092 · 1,456 · 1,820 · 2,184 · 2,548 · 2,912 · 3,276 · 3,640

Sums & aliquot sequence

As consecutive integers: 49 + 50 + … + 55 42 + 43 + … + 49 22 + 23 + … + 34

Aliquot sequence: 364 → 420 → 924 → 1,764 → 3,423 → 1,825 → 469 → 75 → 49 → 8 → 7 → 1 → 0 — terminates at zero

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)

In other bases

ternary (3) 111111

quaternary (4) 11230

quinary (5) 2424

senary (6) 1404

septenary (7) 1030

nonary (9) 444

undecimal (11) 301

duodecimal (12) 264

tridecimal (13) 220

tetradecimal (14) 1c0

pentadecimal (15) 194

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

In other modern scripts

Eastern Arabic ٣٦٤ Devanagari ३६४ Bengali ৩৬৪ Tamil ௩௬௪ Thai ๓๖๔ Tibetan ༣༦༤ Khmer ៣៦៤ Lao ໓໖໔ Burmese ၃၆၄

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 decomposition

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.

Unicode codepoint

Latin Capital Letter U With Breve

U+016C

Uppercase letter (Lu)

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

Lookup U+016C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00016C

RGB(0, 1, 108)

IPv4 address

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.

NANP area code 364

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.

Look up area code 364 ↗