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630629064 = 23341374861
BaseRepresentation
bin100101100101101…
…010001011001000
31121221122021110000
4211211222023020
52242420112224
6142324323000
721425154462
oct4545521310
91557567400
10630629064
112a3a78a4a
12157243460
13a0860cc0
145da7b132
153a56d0c9
hex2596a2c8

630629064 has 80 divisors (see below), whose sum is σ = 1902243420. Its totient is φ = 194037120.

The previous prime is 630629017. The next prime is 630629089. The reversal of 630629064 is 460926036.

630629064 is a `hidden beast` number, since 6 + 306 + 290 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 630512100 + 116964 = 25110^2 + 342^2 .

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 29007 + ... + 45854.

Almost surely, 2630629064 is an apocalyptic number.

It is an amenable number.

630629064 is an abundant number, since it is smaller than the sum of its proper divisors (1271614356).

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

630629064 is a wasteful number, since it uses less digits than its factorization.

630629064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74892 (or 74879 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 630629064 is about 25112.3289242555. The cubic root of 630629064 is about 857.5471227295.

The spelling of 630629064 in words is "six hundred thirty million, six hundred twenty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 74861 149722 224583 299444 449166 598888 673749 898332 973193 1347498 1796664 1946386 2021247 2694996 2919579 3892772 4042494 5389992 5839158 6063741 7785544 8084988 8758737 11678316 12127482 16169976 17517474 23356632 24254964 26276211 35034948 48509928 52552422 70069896 78828633 105104844 157657266 210209688 315314532 630629064