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634538256 = 243113138767
BaseRepresentation
bin100101110100100…
…100100100010000
31122012222212211220
4211310210210100
52244420211011
6142544205040
721503325522
oct4564444420
91565885756
10634538256
112a61a8a90
12158609780
13a15cc431
14603b7a12
153aa91506
hex25d24910

634538256 has 80 divisors (see below), whose sum is σ = 1845977088. Its totient is φ = 186076800.

The previous prime is 634538251. The next prime is 634538273. The reversal of 634538256 is 652835436.

It is a hoax number, since the sum of its digits (42) 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 (634538251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3016 + ... + 35751.

Almost surely, 2634538256 is an apocalyptic number.

634538256 is a gapful number since it is divisible by the number (66) 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 634538256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922988544).

634538256 is an abundant number, since it is smaller than the sum of its proper divisors (1211438832).

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

634538256 is a wasteful number, since it uses less digits than its factorization.

634538256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38820 (or 38814 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 634538256 is about 25190.0427947235. The cubic root of 634538256 is about 859.3154169793.

The spelling of 634538256 in words is "six hundred thirty-four million, five hundred thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 4092 5456 8184 16368 38767 77534 116301 155068 232602 310136 426437 465204 620272 852874 930408 1201777 1279311 1705748 1860816 2403554 2558622 3411496 3605331 4807108 5117244 6822992 7210662 9614216 10234488 13219547 14421324 19228432 20468976 26439094 28842648 39658641 52878188 57685296 79317282 105756376 158634564 211512752 317269128 634538256