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2,334

2,334 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.).

2,334 (two thousand three hundred thirty-four) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 389. Its proper divisors sum to 2,346, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMCCCXXXIV and in binary, 100100011110.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
12
Digit product
72
Digital root
3
Palindrome
No
Bit width
12 bits
Reversed
4,332
Recamán's sequence
a(715) = 2,334
Square (n²)
5,447,556
Cube (n³)
12,714,595,704
Divisor count
8
σ(n) — sum of divisors
4,680
φ(n) — Euler's totient
776
Sum of prime factors
394

Primality

Prime factorization: 2 × 3 × 389

Nearest primes: 2,333 (−1) · 2,339 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 389 · 778 · 1167 (half) · 2334
Aliquot sum (sum of proper divisors): 2,346
Factor pairs (a × b = 2,334)
1 × 2334
2 × 1167
3 × 778
6 × 389
First multiples
2,334 · 4,668 (double) · 7,002 · 9,336 · 11,670 · 14,004 · 16,338 · 18,672 · 21,006 · 23,340

Sums & aliquot sequence

As consecutive integers: 777 + 778 + 779 582 + 583 + 584 + 585 189 + 190 + … + 200
Aliquot sequence: 2,334 2,346 2,838 3,498 4,278 4,938 4,950 9,558 12,222 18,354 27,726 27,738 35,910 79,290 127,098 161,190 274,410 — unresolved within range

Continued fraction of √n

√2,334 = [48; (3, 4, 1, 3, 19, 16, 19, 3, 1, 4, 3, 96)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
two thousand three hundred thirty-four
Ordinal
2334th
Roman numeral
MMCCCXXXIV
Binary
100100011110
Octal
4436
Hexadecimal
0x91E
Base64
CR4=
One's complement
63,201 (16-bit)
Scientific notation
2.334 × 10³
As a duration
2,334 s = 38 minutes, 54 seconds
In other bases
ternary (3) 10012110
quaternary (4) 210132
quinary (5) 33314
senary (6) 14450
septenary (7) 6543
nonary (9) 3173
undecimal (11) 1832
duodecimal (12) 1426
tridecimal (13) 10a7
tetradecimal (14) bca
pentadecimal (15) a59

As an angle

2,334° = 6 × 360° + 174°
174° ≈ 3.037 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βτλδʹ
Mayan (base 20)
𝋥·𝋰·𝋮
Chinese
二千三百三十四
Chinese (financial)
貳仟參佰參拾肆
In other modern scripts
Eastern Arabic ٢٣٣٤ Devanagari २३३४ Bengali ২৩৩৪ Tamil ௨௩௩௪ Thai ๒๓๓๔ Tibetan ༢༣༣༤ Khmer ២៣៣៤ Lao ໒໓໓໔ Burmese ၂၃၃၄

Digit at this position in famous constants

π — Pi (π)
Digit 2,334 = 3
e — Euler's number (e)
Digit 2,334 = 7
φ — Golden ratio (φ)
Digit 2,334 = 1
√2 — Pythagoras's (√2)
Digit 2,334 = 1
ln 2 — Natural log of 2
Digit 2,334 = 5
γ — Euler-Mascheroni (γ)
Digit 2,334 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2334, here are decompositions:

  • 23 + 2311 = 2334
  • 37 + 2297 = 2334
  • 41 + 2293 = 2334
  • 47 + 2287 = 2334
  • 53 + 2281 = 2334
  • 61 + 2273 = 2334
  • 67 + 2267 = 2334
  • 83 + 2251 = 2334

Showing the first eight; more decompositions exist.

Unicode codepoint
Devanagari Letter Nya
U+091E
Other letter (Lo)

UTF-8 encoding: E0 A4 9E (3 bytes).

Hex color
#00091E
RGB(0, 9, 30)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.30.

Address
0.0.9.30
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.9.30

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

Musical pitch

Heard as a frequency, 2,334 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D7 (2349.3 Hz, -11¢)
  • Scientific pitch (C4 = 256 Hz): D7 (2298.8 Hz, +26¢)
  • Baroque pitch (A4 = 415 Hz): D♯7 (2347.6 Hz, -10¢)
Position in π

The digit sequence 2334 first appears in π at position 5,210 of the decimal expansion (the 5,210ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.