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2,304

2,304 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.).
Abundant Number Evil Number Gapful Number Harshad / Niven Perfect Square Pernicious Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
4
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
12 bits
Reversed
4,032
Recamán's sequence
a(3,143) = 2,304
Square (n²)
5,308,416
Cube (n³)
12,230,590,464
Square root (√n)
48
Divisor count
27
σ(n) — sum of divisors
6,643
φ(n) — Euler's totient
768
Sum of prime factors
22

Primality

Prime factorization: 2 8 × 3 2

Nearest primes: 2,297 (−7) · 2,309 (+5)

Divisors & multiples

All divisors (27)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 64 · 72 · 96 · 128 · 144 · 192 · 256 · 288 · 384 · 576 · 768 · 1152 (half) · 2304
Aliquot sum (sum of proper divisors): 4,339
Factor pairs (a × b = 2,304)
1 × 2304
2 × 1152
3 × 768
4 × 576
6 × 384
8 × 288
9 × 256
12 × 192
16 × 144
18 × 128
24 × 96
32 × 72
36 × 64
48 × 48
First multiples
2,304 · 4,608 (double) · 6,912 · 9,216 · 11,520 · 13,824 · 16,128 · 18,432 · 20,736 · 23,040

Sums & aliquot sequence

As a sum of two squares: 0² + 48²
As consecutive integers: 767 + 768 + 769 252 + 253 + … + 260
Aliquot sequence: 2,304 4,339 1 0 — terminates at zero

Representations

In words
two thousand three hundred four
Ordinal
2304th
Roman numeral
MMCCCIV
Binary
100100000000
Octal
4400
Hexadecimal
0x900
Base64
CQA=
One's complement
63,231 (16-bit)
In other bases
ternary (3) 10011100
quaternary (4) 210000
quinary (5) 33204
senary (6) 14400
septenary (7) 6501
nonary (9) 3140
undecimal (11) 1805
duodecimal (12) 1400
tridecimal (13) 1083
tetradecimal (14) ba8
pentadecimal (15) a39

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βτδʹ
Mayan (base 20)
𝋥·𝋯·𝋤
Chinese
二千三百零四
Chinese (financial)
貳仟參佰零肆
In other modern scripts
Eastern Arabic ٢٣٠٤ Devanagari २३०४ Bengali ২৩০৪ Tamil ௨௩௦௪ Thai ๒๓๐๔ Tibetan ༢༣༠༤ Khmer ២៣០៤ Lao ໒໓໐໔ Burmese ၂၃၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 2,304 = 9
e — Euler's number (e)
Digit 2,304 = 2
φ — Golden ratio (φ)
Digit 2,304 = 2
√2 — Pythagoras's (√2)
Digit 2,304 = 1
ln 2 — Natural log of 2
Digit 2,304 = 5
γ — Euler-Mascheroni (γ)
Digit 2,304 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2304, here are decompositions:

  • 7 + 2297 = 2304
  • 11 + 2293 = 2304
  • 17 + 2287 = 2304
  • 23 + 2281 = 2304
  • 31 + 2273 = 2304
  • 37 + 2267 = 2304
  • 53 + 2251 = 2304
  • 61 + 2243 = 2304

Showing the first eight; more decompositions exist.

Unicode codepoint
Devanagari Sign Inverted Candrabindu
U+0900
Non-spacing mark (Mn)

UTF-8 encoding: E0 A4 80 (3 bytes).

Hex color
#000900
RGB(0, 9, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.0.

Address
0.0.9.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.9.0

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

Position in π

The digit sequence 2304 first appears in π at position 14,777 of the decimal expansion (the 14,777ordinal-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.