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634630660 = 225374771257
BaseRepresentation
bin100101110100111…
…011001000000100
31122020011120121021
4211310323020010
52244431140120
6142550200524
721504162106
oct4564731004
91566146537
10634630660
112a6261454
12158653144
13a1632501
14603dd576
153aaadaaa
hex25d3b204

634630660 has 96 divisors (see below), whose sum is σ = 1423070208. Its totient is φ = 237404160.

The previous prime is 634630637. The next prime is 634630663. The reversal of 634630660 is 66036436.

It is a super-2 number, since 2×6346306602 = 805512149224071200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (634630663) 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, 2469252 + ... + 2469508.

It is an arithmetic number, because the mean of its divisors is an integer number (14823648).

Almost surely, 2634630660 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 634630660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711535104).

634630660 is an abundant number, since it is smaller than the sum of its proper divisors (788439548).

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

634630660 is a wasteful number, since it uses less digits than its factorization.

634630660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

The square root of 634630660 is about 25191.8768653707. The cubic root of 634630660 is about 859.3571272713.

The spelling of 634630660 in words is "six hundred thirty-four million, six hundred thirty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 37 47 71 74 94 142 148 185 188 235 257 284 355 370 470 514 710 740 940 1028 1285 1420 1739 2570 2627 3337 3478 5140 5254 6674 6956 8695 9509 10508 12079 13135 13348 16685 17390 18247 19018 24158 26270 33370 34780 36494 38036 47545 48316 52540 60395 66740 72988 91235 95090 120790 123469 182470 190180 241580 246938 364940 446923 493876 617345 675139 857609 893846 1234690 1350278 1715218 1787692 2234615 2469380 2700556 3375695 3430436 4288045 4469230 6751390 8576090 8938460 13502780 17152180 31731533 63463066 126926132 158657665 317315330 634630660