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12343279104 = 293213206051
BaseRepresentation
bin10110111111011011…
…10111111000000000
31011212020001112202100
423133231313320000
5200234334412404
65400451150400
7614610066312
oct133755677000
934766045670
1012343279104
115264506312
1224858a5400
131219306860
148514597b2
154c397cd39
hex2dfb77e00

12343279104 has 120 divisors (see below), whose sum is σ = 38363997672. Its totient is φ = 3797913600.

The previous prime is 12343279103. The next prime is 12343279121. The reversal of 12343279104 is 40197234321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12343279103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43122 + ... + 162929.

Almost surely, 212343279104 is an apocalyptic number.

It is an amenable number.

12343279104 is an abundant number, since it is smaller than the sum of its proper divisors (26020718568).

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

12343279104 is a wasteful number, since it uses less digits than its factorization.

12343279104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206088 (or 206069 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12343279104 in words is "twelve billion, three hundred forty-three million, two hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 19968 29952 59904 206051 412102 618153 824204 1236306 1648408 1854459 2472612 2678663 3296816 3708918 4945224 5357326 6593632 7417836 8035989 9890448 10714652 13187264 14835672 16071978 19780896 21429304 24107967 26374528 29671344 32143956 39561792 42858608 48215934 52749056 59342688 64287912 79123584 85717216 96431868 105498112 118685376 128575824 158247168 171434432 192863736 237370752 257151648 316494336 342868864 385727472 474741504 514303296 685737728 771454944 949483008 1028606592 1371475456 1542909888 2057213184 3085819776 4114426368 6171639552 12343279104