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34947311364 = 22327244512
BaseRepresentation
bin100000100011000001…
…011010011100000100
310100012112112100201100
4200203001122130010
51033033002430424
624015442100100
72345012150100
oct404301323404
9110175470640
1034947311364
1113903934309
12693394a630
1333ac336884
141997512900
15d98123dc9
hex82305a704

34947311364 has 81 divisors (see below), whose sum is σ = 102784829511. Its totient is φ = 9982702800.

The previous prime is 34947311351. The next prime is 34947311369. The reversal of 34947311364 is 46311374943.

The square root of 34947311364 is 186942.

It is a perfect power (a square), and thus also a powerful number.

34947311364 is a `hidden beast` number, since 3 + 4 + 9 + 473 + 113 + 64 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34947311369) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7849339 + ... + 7853789.

Almost surely, 234947311364 is an apocalyptic number.

34947311364 is the 186942-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34947311364

34947311364 is an abundant number, since it is smaller than the sum of its proper divisors (67837518147).

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

34947311364 is an equidigital number, since it uses as much as digits as its factorization.

34947311364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8926 (or 4463 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 34947311364 in words is "thirty-four billion, nine hundred forty-seven million, three hundred eleven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 4451 8902 13353 17804 26706 31157 40059 53412 62314 80118 93471 124628 160236 186942 218099 280413 373884 436198 560826 654297 872396 1121652 1308594 1962891 2617188 3925782 7851564 19811401 39622802 59434203 79245604 118868406 138679807 178302609 237736812 277359614 356605218 416039421 554719228 713210436 832078842 970758649 1248118263 1664157684 1941517298 2496236526 2912275947 3883034596 4992473052 5824551894 8736827841 11649103788 17473655682 34947311364