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634372704 = 25327419751
BaseRepresentation
bin100101110011111…
…100001001100000
31122012200110202100
4211303330021200
52244344411304
6142540450400
721502036050
oct4563741140
91565613670
10634372704
112a60a5669
12158549a00
13a1571c84
1460373560
153aa5c439
hex25cfc260

634372704 has 144 divisors (see below), whose sum is σ = 2069383680. Its totient is φ = 180576000.

The previous prime is 634372649. The next prime is 634372723. The reversal of 634372704 is 407273436.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844329 + ... + 845079.

It is an arithmetic number, because the mean of its divisors is an integer number (14370720).

Almost surely, 2634372704 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 634372704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034691840).

634372704 is an abundant number, since it is smaller than the sum of its proper divisors (1435010976).

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

634372704 is a wasteful number, since it uses less digits than its factorization.

634372704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 634372704 is about 25186.7565200444. The cubic root of 634372704 is about 859.2406782443.

The spelling of 634372704 in words is "six hundred thirty-four million, three hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 419 504 672 751 838 1008 1257 1502 1676 2016 2253 2514 2933 3004 3352 3771 4506 5028 5257 5866 6008 6704 6759 7542 8799 9012 10056 10514 11732 12016 13408 13518 15084 15771 17598 18024 20112 21028 23464 24032 26397 27036 30168 31542 35196 36048 40224 42056 46928 47313 52794 54072 60336 63084 70392 72096 84112 93856 94626 105588 108144 120672 126168 140784 168224 189252 211176 216288 252336 281568 314669 378504 422352 504672 629338 757008 844704 944007 1258676 1514016 1888014 2202683 2517352 2832021 3776028 4405366 5034704 5664042 6608049 7552056 8810732 10069408 11328084 13216098 15104112 17621464 19824147 22656168 26432196 30208224 35242928 39648294 45312336 52864392 70485856 79296588 90624672 105728784 158593176 211457568 317186352 634372704