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14,364

14,364 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.).

14,364 (fourteen thousand three hundred sixty-four) is an even 5-digit number. It is a composite number with 48 divisors, and factors as 2² × 3³ × 7 × 19. Its proper divisors sum to 30,436, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x381C.

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

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
288
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
46,341
Recamán's sequence
a(19,988) = 14,364
Square (n²)
206,324,496
Cube (n³)
2,963,645,060,544
Divisor count
48
σ(n) — sum of divisors
44,800
φ(n) — Euler's totient
3,888
Sum of prime factors
39

Primality

Prime factorization: 2 2 × 3 3 × 7 × 19

Nearest primes: 14,347 (−17) · 14,369 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 19 · 21 · 27 · 28 · 36 · 38 · 42 · 54 · 57 · 63 · 76 · 84 · 108 · 114 · 126 · 133 · 171 · 189 · 228 · 252 · 266 · 342 · 378 · 399 · 513 · 532 · 684 · 756 · 798 · 1026 · 1197 · 1596 · 2052 · 2394 · 3591 · 4788 · 7182 (half) · 14364
Aliquot sum (sum of proper divisors): 30,436
Factor pairs (a × b = 14,364)
1 × 14364
2 × 7182
3 × 4788
4 × 3591
6 × 2394
7 × 2052
9 × 1596
12 × 1197
14 × 1026
18 × 798
19 × 756
21 × 684
27 × 532
28 × 513
36 × 399
38 × 378
42 × 342
54 × 266
57 × 252
63 × 228
76 × 189
84 × 171
108 × 133
114 × 126
First multiples
14,364 · 28,728 (double) · 43,092 · 57,456 · 71,820 · 86,184 · 100,548 · 114,912 · 129,276 · 143,640

Sums & aliquot sequence

As a sum of two cubes: 13³ + 23³
As consecutive integers: 4,787 + 4,788 + 4,789 2,049 + 2,050 + … + 2,055 1,792 + 1,793 + … + 1,799 1,592 + 1,593 + … + 1,600
Aliquot sequence: 14,364 30,436 30,492 66,332 73,444 79,324 79,380 210,294 310,746 320,838 412,602 412,614 518,622 627,138 731,700 1,629,260 1,792,228 — unresolved within range

Continued fraction of √n

√14,364 = [119; (1, 5, 1, 1, 1, 25, 1, 58, 1, 25, 1, 1, 1, 5, 1, 238)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
fourteen thousand three hundred sixty-four
Ordinal
14364th
Binary
11100000011100
Octal
34034
Hexadecimal
0x381C
Base64
OBw=
One's complement
51,171 (16-bit)
Scientific notation
1.4364 × 10⁴
As a duration
14,364 s = 3 hours, 59 minutes, 24 seconds
In other bases
ternary (3) 201201000
quaternary (4) 3200130
quinary (5) 424424
senary (6) 150300
septenary (7) 56610
nonary (9) 21630
undecimal (11) a879
duodecimal (12) 8390
tridecimal (13) 66cc
tetradecimal (14) 5340
pentadecimal (15) 43c9
Palindromic in base 5

As an angle

14,364° = 39 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιδτξδʹ
Mayan (base 20)
𝋡·𝋯·𝋲·𝋤
Chinese
一萬四千三百六十四
Chinese (financial)
壹萬肆仟參佰陸拾肆
In other modern scripts
Eastern Arabic ١٤٣٦٤ Devanagari १४३६४ Bengali ১৪৩৬৪ Tamil ௧௪௩௬௪ Thai ๑๔๓๖๔ Tibetan ༡༤༣༦༤ Khmer ១៤៣៦៤ Lao ໑໔໓໖໔ Burmese ၁၄၃၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 14,364 = 4
e — Euler's number (e)
Digit 14,364 = 8
φ — Golden ratio (φ)
Digit 14,364 = 5
√2 — Pythagoras's (√2)
Digit 14,364 = 9
ln 2 — Natural log of 2
Digit 14,364 = 4
γ — Euler-Mascheroni (γ)
Digit 14,364 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 14364, here are decompositions:

  • 17 + 14347 = 14364
  • 23 + 14341 = 14364
  • 37 + 14327 = 14364
  • 41 + 14323 = 14364
  • 43 + 14321 = 14364
  • 61 + 14303 = 14364
  • 71 + 14293 = 14364
  • 83 + 14281 = 14364

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-381C
U+381C
Other letter (Lo)

UTF-8 encoding: E3 A0 9C (3 bytes).

Hex color
#00381C
RGB(0, 56, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.56.28.

Address
0.0.56.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.56.28

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

Musical pitch

Heard as a frequency, 14,364 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, +35¢)
  • Scientific pitch (C4 = 256 Hz): A♯9 (14596.5 Hz, -28¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, +36¢)
Position in π

The digit sequence 14364 first appears in π at position 11,879 of the decimal expansion (the 11,879ordinal-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°.