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664301352 = 2331113414721
BaseRepresentation
bin100111100110000…
…110111100101000
31201022000000010210
4213212012330220
52330030120402
6145530141120
722314316431
oct4746067450
91638000123
10664301352
11310a87490
121665817a0
13a7820630
1464324488
153d4c006c
hex27986f28

664301352 has 128 divisors (see below), whose sum is σ = 1999105920. Its totient is φ = 181248000.

The previous prime is 664301327. The next prime is 664301353. The reversal of 664301352 is 253103466.

664301352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (664301353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138352 + ... + 143072.

It is an arithmetic number, because the mean of its divisors is an integer number (15618015).

Almost surely, 2664301352 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 664301352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999552960).

664301352 is an abundant number, since it is smaller than the sum of its proper divisors (1334804568).

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

664301352 is a wasteful number, since it uses less digits than its factorization.

664301352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795 (or 4791 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 664301352 is about 25774.0441529846. The cubic root of 664301352 is about 872.5460941212.

The spelling of 664301352 in words is "six hundred sixty-four million, three hundred one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 41 44 52 66 78 82 88 104 123 132 143 156 164 246 264 286 312 328 429 451 492 533 572 858 902 984 1066 1144 1353 1599 1716 1804 2132 2706 3198 3432 3608 4264 4721 5412 5863 6396 9442 10824 11726 12792 14163 17589 18884 23452 28326 35178 37768 46904 51931 56652 61373 70356 103862 113304 122746 140712 155793 184119 193561 207724 245492 311586 368238 387122 415448 490984 580683 623172 675103 736476 774244 1161366 1246344 1350206 1472952 1548488 2025309 2129171 2322732 2516293 2700412 4050618 4258342 4645464 5032586 5400824 6387513 7548879 8101236 8516684 10065172 12775026 15097758 16202472 17033368 20130344 25550052 27679223 30195516 51100104 55358446 60391032 83037669 110716892 166075338 221433784 332150676 664301352