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634904328 = 233236717167
BaseRepresentation
bin100101110101111…
…101111100001000
31122020200111000010
4211311331330020
52300013414303
6143000111520
721506412012
oct4565757410
91566614003
10634904328
112a6429023
121587655a0
13a16c9c46
14604711b2
153ab14c03
hex25d7df08

634904328 has 64 divisors (see below), whose sum is σ = 1681090560. Its totient is φ = 199400256.

The previous prime is 634904327. The next prime is 634904353. The reversal of 634904328 is 823409436.

It is not an unprimeable number, because it can be changed into a prime (634904327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28401 + ... + 45567.

It is an arithmetic number, because the mean of its divisors is an integer number (26267040).

Almost surely, 2634904328 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 634904328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840545280).

634904328 is an abundant number, since it is smaller than the sum of its proper divisors (1046186232).

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

634904328 is a wasteful number, since it uses less digits than its factorization.

634904328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17266 (or 17262 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 634904328 is about 25197.3079514459. The cubic root of 634904328 is about 859.4806346719.

The spelling of 634904328 in words is "six hundred thirty-four million, nine hundred four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 67 69 92 134 138 184 201 268 276 402 536 552 804 1541 1608 3082 4623 6164 9246 12328 17167 18492 34334 36984 51501 68668 103002 137336 206004 394841 412008 789682 1150189 1184523 1579364 2300378 2369046 3158728 3450567 4600756 4738092 6901134 9201512 9476184 13802268 26454347 27604536 52908694 79363041 105817388 158726082 211634776 317452164 634904328