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38,400

38,400 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 Harshad / Niven

Properties

Parity
Even
Digit count
5
Digit sum
15
Digital root
6
Palindrome
No
Reversed
483
Divisor count
60
σ(n) — sum of divisors
126,852

Primality

Prime factorization: 2 9 × 3 × 5 2

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 32 · 40 · 48 · 50 · 60 · 64 · 75 · 80 · 96 · 100 · 120 · 128 · 150 · 160 · 192 · 200 · 240 · 256 · 300 · 320 · 384 · 400 · 480 · 512 · 600 · 640 · 768 · 800 · 960 · 1200 · 1280 · 1536 · 1600 · 1920 · 2400 · 2560 · 3200 · 3840 · 4800 · 6400 · 7680 · 9600 · 12800 · 19200 · 38400
Aliquot sum (sum of proper divisors): 88,452
Factor pairs (a × b = 38,400)
1 × 38400
2 × 19200
3 × 12800
4 × 9600
5 × 7680
6 × 6400
8 × 4800
10 × 3840
12 × 3200
15 × 2560
16 × 2400
20 × 1920
24 × 1600
25 × 1536
30 × 1280
32 × 1200
40 × 960
48 × 800
50 × 768
60 × 640
64 × 600
75 × 512
80 × 480
96 × 400
100 × 384
120 × 320
128 × 300
150 × 256
160 × 240
192 × 200
First multiples
38,400 · 76,800 · 115,200 · 153,600 · 192,000 · 230,400 · 268,800 · 307,200 · 345,600 · 384,000

Representations

In words
thirty-eight thousand four hundred
Ordinal
38400th
Binary
1001011000000000
Octal
113000
Hexadecimal
0x9600
Base64
lgA=

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 38400, here are decompositions:

  • 7 + 38393 = 38400
  • 23 + 38377 = 38400
  • 29 + 38371 = 38400
  • 67 + 38333 = 38400
  • 71 + 38329 = 38400
  • 73 + 38327 = 38400
  • 79 + 38321 = 38400
  • 83 + 38317 = 38400

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-9600
U+9600
Other letter (Lo)

UTF-8 encoding: E9 98 80 (3 bytes).

Hex color
#009600
RGB(0, 150, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.150.0.

Address
0.0.150.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.150.0

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