Number

264

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

264 (two hundred sixty-four) is an even 3-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 11. Its proper divisors sum to 456, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CCLXIV and in binary, 100001000.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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Historical context — 264 AD

Calendar year

Year 264 (CCLXIV) was a leap year starting on Friday of the Julian calendar.

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

Notable events — 264 BC

Undated The First Punic War begins between Rome and Carthage.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Friday
January 1, 264
Ended on: Saturday
December 31, 264
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 260s
260–269
Century: 3rd century
201–300
Millennium: 1st millennium
1–1000
Years ago: 1,762
1762 years before 2026.

In other calendars

Hebrew: 4024 / 4025 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Wood zodiac:Monkey
Sexagenary cycle position 21 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 807 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 256 / 257 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 186 / 185 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 12
Digit product: 48
Digital root: 3
Palindrome: No
Bit width: 9 bits
Reversed: 462
Recamán's sequence: a(103) = 264
Square (n²): 69,696
Cube (n³): 18,399,744
Divisor count: 16
σ(n) — sum of divisors: 720
φ(n) — Euler's totient: 80
Sum of prime factors: 20

Primality

Prime factorization: 2 ³ × 3 × 11

Nearest primes: 263 (−1) · 269 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 22 · 24 · 33 · 44 · 66 · 88 · 132 (half) · 264

Aliquot sum (sum of proper divisors): 456

Factor pairs (a × b = 264)

1 × 264

2 × 132

3 × 88

4 × 66

6 × 44

8 × 33

11 × 24

12 × 22

First multiples

264 · 528 (double) · 792 · 1,056 · 1,320 · 1,584 · 1,848 · 2,112 · 2,376 · 2,640

Sums & aliquot sequence

As consecutive integers: 87 + 88 + 89 19 + 20 + … + 29 9 + 10 + … + 24

Aliquot sequence: 264 → 456 → 744 → 1,176 → 2,244 → 3,804 → 5,100 → 10,524 → 14,060 → 17,860 → 22,460 → 24,748 → 20,612 → 15,466 → 11,894 → 6,946 → 3,998 — unresolved within range

Continued fraction of √n

√264 = [16; (4, 32)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: two hundred sixty-four
Ordinal: 264th
Roman numeral: CCLXIV
Binary: 100001000
Octal: 410
Hexadecimal: 0x108
Base64: AQg=
One's complement: 65,271 (16-bit)
Scientific notation: 2.64 × 10²
As a duration: 264 s = 4 minutes, 24 seconds

In other bases

ternary (3) 100210

quaternary (4) 10020

quinary (5) 2024

senary (6) 1120

septenary (7) 525

nonary (9) 323

undecimal (11) 220

duodecimal (12) 1a0

tridecimal (13) 174

tetradecimal (14) 14c

pentadecimal (15) 129

Palindromic in base 7, base 9

As an angle

264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): σξδʹ
Mayan (base 20): 𝋭·𝋤
Chinese: 二百六十四
Chinese (financial): 貳佰陸拾肆

In other modern scripts

Eastern Arabic ٢٦٤ Devanagari २६४ Bengali ২৬৪ Tamil ௨௬௪ Thai ๒๖๔ Tibetan ༢༦༤ Khmer ២៦៤ Lao ໒໖໔ Burmese ၂၆၄

Digit at this position in famous constants

π — Pi (π): Digit 264 = 6
e — Euler's number (e): Digit 264 = 7
φ — Golden ratio (φ): Digit 264 = 5
√2 — Pythagoras's (√2): Digit 264 = 8
ln 2 — Natural log of 2: Digit 264 = 0
γ — Euler-Mascheroni (γ): Digit 264 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 264, here are decompositions:

7 + 257 = 264
13 + 251 = 264
23 + 241 = 264
31 + 233 = 264
37 + 227 = 264
41 + 223 = 264
53 + 211 = 264
67 + 197 = 264

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter C With Circumflex

U+0108

Uppercase letter (Lu)

UTF-8 encoding: C4 88 (2 bytes).

Lookup U+0108 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000108

RGB(0, 1, 8)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.8.

Address: 0.0.1.8
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.8

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

NANP area code 264

The number 264 is an active NANP area code (North American Numbering Plan).

Primary area: Statewide
Region: Anguilla
Country: Anguilla

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 264 ↗

Musical pitch

Heard as a frequency, 264 Hz is closest to:

Concert pitch (A4 = 440 Hz): C4 (261.6 Hz, +16¢)
Scientific pitch (C4 = 256 Hz): C♯4 (271.2 Hz, -47¢ — about midway to C4)
Baroque pitch (A4 = 415 Hz): C♯4 (261.4 Hz, +17¢)