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634975616 = 27115367127
BaseRepresentation
bin100101110110001…
…111010110000000
31122020211002210102
4211312033112000
52300023204431
6143001421532
721510126602
oct4566172600
91566732712
10634975616
112a6477640
1215879a8a8
13a1723522
146048d172
153ab2adcb
hex25d8f580

634975616 has 128 divisors (see below), whose sum is σ = 1438248960. Its totient is φ = 276756480.

The previous prime is 634975591. The next prime is 634975637. The reversal of 634975616 is 616579436.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4999745 + ... + 4999871.

It is an arithmetic number, because the mean of its divisors is an integer number (11236320).

Almost surely, 2634975616 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 634975616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719124480).

634975616 is an abundant number, since it is smaller than the sum of its proper divisors (803273344).

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

634975616 is a wasteful number, since it uses less digits than its factorization.

634975616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its digits is 816480, while the sum is 47.

The square root of 634975616 is about 25198.7225073018. The cubic root of 634975616 is about 859.5128013883.

The spelling of 634975616 in words is "six hundred thirty-four million, nine hundred seventy-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 67 88 106 127 128 134 176 212 254 268 352 424 508 536 583 704 737 848 1016 1072 1166 1397 1408 1474 1696 2032 2144 2332 2794 2948 3392 3551 4064 4288 4664 5588 5896 6731 6784 7102 8128 8509 8576 9328 11176 11792 13462 14204 16256 17018 18656 22352 23584 26924 28408 34036 37312 39061 44704 47168 53848 56816 68072 74041 74624 78122 89408 93599 94336 107696 113632 136144 148082 156244 178816 187198 215392 227264 272288 296164 312488 374396 430784 450977 454528 544576 592328 624976 748792 861568 901954 1089152 1184656 1249952 1497584 1803908 2369312 2499904 2995168 3607816 4738624 4960747 4999808 5990336 7215632 9477248 9921494 11980672 14431264 19842988 28862528 39685976 57725056 79371952 158743904 317487808 634975616