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634082761 = 1341492
BaseRepresentation
bin100101110010110…
…101010111001001
31122012010202000201
4211302311113021
52244311122021
6142530332201
721466420534
oct4562652711
91565122021
10634082761
112a5a17844
1215842a061
13a14a0000
14602d9a1b
153aa01591
hex25cb55c9

634082761 has 15 divisors (see below), whose sum is σ = 691562291. Its totient is φ = 581378928.

The previous prime is 634082759. The next prime is 634082777. The reversal of 634082761 is 167280436.

The square root of 634082761 is 25181.

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

It can be written as a sum of positive squares in 7 ways, for example, as 522991161 + 111091600 = 22869^2 + 10540^2 .

It is not a de Polignac number, because 634082761 - 21 = 634082759 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 634082761.

It is not an unprimeable number, because it can be changed into a prime (634082731) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4255515 + ... + 4255663.

Almost surely, 2634082761 is an apocalyptic number.

634082761 is the 25181-st square number.

634082761 is the 12591-st centered octagonal number.

It is an amenable number.

634082761 is a deficient number, since it is larger than the sum of its proper divisors (57479530).

634082761 is an frugal number, since it uses more digits than its factorization.

634082761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The cubic root of 634082761 is about 859.1097516436.

The spelling of 634082761 in words is "six hundred thirty-four million, eighty-two thousand, seven hundred sixty-one".

Divisors: 1 13 149 169 1937 2197 22201 25181 28561 288613 327353 3751969 4255589 48775597 634082761