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634013028 = 2233111731393
BaseRepresentation
bin100101110010100…
…100010101100100
31122012000012101000
4211302210111210
52244301404103
6142525033300
721466010325
oct4562442544
91565005330
10634013028
112a597a410
121583b5830
13a147734c
14602bc44c
153a9daaa3
hex25ca4564

634013028 has 96 divisors (see below), whose sum is σ = 1898709120. Its totient is φ = 180817920.

The previous prime is 634013021. The next prime is 634013087. The reversal of 634013028 is 820310436.

It is a happy number.

634013028 is a `hidden beast` number, since 634 + 0 + 1 + 3 + 0 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 634012992 and 634013010.

It is not an unprimeable number, because it can be changed into a prime (634013021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4500 + ... + 35892.

It is an arithmetic number, because the mean of its divisors is an integer number (19778220).

Almost surely, 2634013028 is an apocalyptic number.

634013028 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634013028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949354560).

634013028 is an abundant number, since it is smaller than the sum of its proper divisors (1264696092).

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

634013028 is a wasteful number, since it uses less digits than its factorization.

634013028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31434 (or 31426 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 634013028 is about 25179.6153266884. The cubic root of 634013028 is about 859.0782570711.

The spelling of 634013028 in words is "six hundred thirty-four million, thirteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1188 1683 1836 2244 3366 5049 6732 10098 20196 31393 62786 94179 125572 188358 282537 345323 376716 533681 565074 690646 847611 1035969 1067362 1130148 1381292 1601043 1695222 2071938 2134724 3107907 3202086 3390444 4143876 4803129 5870491 6215814 6404172 9323721 9606258 11740982 12431628 14409387 17611473 18647442 19212516 23481964 28818774 35222946 37294884 52834419 57637548 70445892 105668838 158503257 211337676 317006514 634013028