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13034376 = 23321723463
BaseRepresentation
bin110001101110…
…001110001000
3220112012210200
4301232032020
511314100001
61143212200
7215535045
oct61561610
926465720
1013034376
1173a2a13
124447060
132914a64
141a341cc
151227086
hexc6e388

13034376 has 96 divisors (see below), whose sum is σ = 39087360. Its totient is φ = 3902976.

The previous prime is 13034363. The next prime is 13034387. The reversal of 13034376 is 67343031.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 27921 + ... + 28383.

It is an arithmetic number, because the mean of its divisors is an integer number (407160).

Almost surely, 213034376 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 13034376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19543680).

13034376 is an abundant number, since it is smaller than the sum of its proper divisors (26052984).

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

13034376 is a wasteful number, since it uses less digits than its factorization.

13034376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 13034376 is about 3610.3152216946. The cubic root of 13034376 is about 235.3405414380.

The spelling of 13034376 in words is "thirteen million, thirty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 34 36 46 51 68 69 72 92 102 136 138 153 184 204 207 276 306 391 408 414 463 552 612 782 828 926 1173 1224 1389 1564 1656 1852 2346 2778 3128 3519 3704 4167 4692 5556 7038 7871 8334 9384 10649 11112 14076 15742 16668 21298 23613 28152 31484 31947 33336 42596 47226 62968 63894 70839 85192 94452 95841 127788 141678 181033 188904 191682 255576 283356 362066 383364 543099 566712 724132 766728 1086198 1448264 1629297 2172396 3258594 4344792 6517188 13034376