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634032832 = 26313131021
BaseRepresentation
bin100101110010101…
…001001011000000
31122012001012112111
4211302221023000
52244303022312
6142525305104
721466122136
oct4562511300
91565035474
10634032832
112a5993284
12158405194
13a1483374
14602c5756
153a9e18a7
hex25ca92c0

634032832 has 56 divisors (see below), whose sum is σ = 1304170112. Its totient is φ = 305510400.

The previous prime is 634032809. The next prime is 634032871. The reversal of 634032832 is 238230436.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 634032794 and 634032803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 620482 + ... + 621502.

It is an arithmetic number, because the mean of its divisors is an integer number (23288752).

Almost surely, 2634032832 is an apocalyptic number.

634032832 is a gapful number since it is divisible by the number (62) 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 634032832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652085056).

634032832 is an abundant number, since it is smaller than the sum of its proper divisors (670137280).

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

634032832 is a wasteful number, since it uses less digits than its factorization.

634032832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 634032832 is about 25180.0085782352. The cubic root of 634032832 is about 859.0872016868.

The spelling of 634032832 in words is "six hundred thirty-four million, thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 313 496 626 992 1021 1252 1984 2042 2504 4084 5008 8168 9703 10016 16336 19406 20032 31651 32672 38812 63302 65344 77624 126604 155248 253208 310496 319573 506416 620992 639146 1012832 1278292 2025664 2556584 5113168 9906763 10226336 19813526 20452672 39627052 79254104 158508208 317016416 634032832