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12749304 = 2331973383
BaseRepresentation
bin110000101000…
…100111111000
3212222201202110
4300220213320
511230434204
61133132320
7213236661
oct60504770
925881673
1012749304
117218817
12432a0a0
132845089
14199c368
1511bc889
hexc289f8

12749304 has 64 divisors (see below), whose sum is σ = 34099200. Its totient is φ = 3960576.

The previous prime is 12749293. The next prime is 12749311. The reversal of 12749304 is 40394721.

12749304 = T124 + T125 + ... + T427.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33097 + ... + 33479.

It is an arithmetic number, because the mean of its divisors is an integer number (532800).

Almost surely, 212749304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12749304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17049600).

12749304 is an abundant number, since it is smaller than the sum of its proper divisors (21349896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12749304 is a wasteful number, since it uses less digits than its factorization.

12749304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 12749304 is about 3570.6167534475. The cubic root of 12749304 is about 233.6121854374.

The spelling of 12749304 in words is "twelve million, seven hundred forty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 73 76 114 146 152 219 228 292 383 438 456 584 766 876 1149 1387 1532 1752 2298 2774 3064 4161 4596 5548 7277 8322 9192 11096 14554 16644 21831 27959 29108 33288 43662 55918 58216 83877 87324 111836 167754 174648 223672 335508 531221 671016 1062442 1593663 2124884 3187326 4249768 6374652 12749304