Live analysis

3,264

3,264 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

3,264 (three thousand two hundred sixty-four) is an even 4-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 3 × 17. Its proper divisors sum to 5,880, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCCLXIV and in binary, 110011000000.

Abundant Number Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

3,252 3,253 3,254 3,255 3,256 3,257 3,258 3,259 3,260 3,261 3,262 3,263 3,264 3,265 3,266 3,267 3,268 3,269 3,270 3,271 3,272 3,273 3,274 3,275 3,276

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 144
Digital root: 6
Palindrome: No
Bit width: 12 bits
Reversed: 4,623
Recamán's sequence: a(6,820) = 3,264
Square (n²): 10,653,696
Cube (n³): 34,773,663,744
Divisor count: 28
σ(n) — sum of divisors: 9,144
φ(n) — Euler's totient: 1,024
Sum of prime factors: 32

Primality

Prime factorization: 2 ⁶ × 3 × 17

Nearest primes: 3,259 (−5) · 3,271 (+7)

Divisors & multiples

All divisors (28)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 17 · 24 · 32 · 34 · 48 · 51 · 64 · 68 · 96 · 102 · 136 · 192 · 204 · 272 · 408 · 544 · 816 · 1088 · 1632 (half) · 3264

Aliquot sum (sum of proper divisors): 5,880

Factor pairs (a × b = 3,264)

1 × 3264

2 × 1632

3 × 1088

4 × 816

6 × 544

8 × 408

12 × 272

16 × 204

17 × 192

24 × 136

32 × 102

34 × 96

48 × 68

51 × 64

First multiples

3,264 · 6,528 (double) · 9,792 · 13,056 · 16,320 · 19,584 · 22,848 · 26,112 · 29,376 · 32,640

Sums & aliquot sequence

As consecutive integers: 1,087 + 1,088 + 1,089 184 + 185 + … + 200 39 + 40 + … + 89

Aliquot sequence: 3,264 → 5,880 → 14,640 → 31,488 → 54,360 → 123,480 → 344,520 → 951,480 → 2,223,720 → 5,552,280 → 13,498,920 → 33,157,080 → 87,457,320 → 206,507,340 → 516,027,060 → 1,074,949,236 → 1,841,653,908 — unresolved within range

Continued fraction of √n

√3,264 = [57; (7, 1, 1, 1, 1, 3, 1, 27, 1, 3, 1, 1, 1, 1, 7, 114)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: three thousand two hundred sixty-four
Ordinal: 3264th
Roman numeral: MMMCCLXIV
Binary: 110011000000
Octal: 6300
Hexadecimal: 0xCC0
Base64: DMA=
One's complement: 62,271 (16-bit)
Scientific notation: 3.264 × 10³
As a duration: 3,264 s = 54 minutes, 24 seconds

In other bases

ternary (3) 11110220

quaternary (4) 303000

quinary (5) 101024

senary (6) 23040

septenary (7) 12342

nonary (9) 4426

undecimal (11) 24a8

duodecimal (12) 1a80

tridecimal (13) 1641

tetradecimal (14) 1292

pentadecimal (15) e79

As an angle

3,264° = 9 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γσξδʹ
Mayan (base 20): 𝋨·𝋣·𝋤
Chinese: 三千二百六十四
Chinese (financial): 參仟貳佰陸拾肆

In other modern scripts

Eastern Arabic ٣٢٦٤ Devanagari ३२६४ Bengali ৩২৬৪ Tamil ௩௨௬௪ Thai ๓๒๖๔ Tibetan ༣༢༦༤ Khmer ៣២៦៤ Lao ໓໒໖໔ Burmese ၃၂၆၄

Digit at this position in famous constants

π — Pi (π): Digit 3,264 = 8
e — Euler's number (e): Digit 3,264 = 5
φ — Golden ratio (φ): Digit 3,264 = 7
√2 — Pythagoras's (√2): Digit 3,264 = 7
ln 2 — Natural log of 2: Digit 3,264 = 9
γ — Euler-Mascheroni (γ): Digit 3,264 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3264, here are decompositions:

5 + 3259 = 3264
7 + 3257 = 3264
11 + 3253 = 3264
13 + 3251 = 3264
43 + 3221 = 3264
47 + 3217 = 3264
61 + 3203 = 3264
73 + 3191 = 3264

Showing the first eight; more decompositions exist.

Unicode codepoint

ೀ

Kannada Vowel Sign II

U+0CC0

Spacing combining mark (Mc)

UTF-8 encoding: E0 B3 80 (3 bytes).

Lookup U+0CC0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000CC0

RGB(0, 12, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.192.

Address: 0.0.12.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.12.192

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

Musical pitch

Heard as a frequency, 3,264 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, -31¢)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, +7¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, -29¢)

Position in π

The digit sequence 3264 first appears in π at position 1,976 of the decimal expansion (the 1,976ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 3264 on Pi Search ↗