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704810664 = 233229418233
BaseRepresentation
bin101010000000101…
…000111010101000
31211010020002110200
4222000220322220
52420412420124
6153534312200
723315535405
oct5200507250
91733202420
10704810664
11331935758
12178058660
13b3034c3c
146986b2ac
1541d22bc9
hex2a028ea8

704810664 has 96 divisors (see below), whose sum is σ = 2023093800. Its totient is φ = 221276160.

The previous prime is 704810657. The next prime is 704810683. The reversal of 704810664 is 466018407.

It can be written as a sum of positive squares in 4 ways, for example, as 322920900 + 381889764 = 17970^2 + 19542^2 .

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81492 + ... + 89724.

Almost surely, 2704810664 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 704810664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011546900).

704810664 is an abundant number, since it is smaller than the sum of its proper divisors (1318283136).

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

704810664 is a wasteful number, since it uses less digits than its factorization.

704810664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8315 (or 8308 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 704810664 is about 26548.2704521406. The cubic root of 704810664 is about 889.9333636933.

The spelling of 704810664 in words is "seven hundred four million, eight hundred ten thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 41 58 72 82 87 116 123 164 174 232 246 261 328 348 369 492 522 696 738 984 1044 1189 1476 2088 2378 2952 3567 4756 7134 8233 9512 10701 14268 16466 21402 24699 28536 32932 42804 49398 65864 74097 85608 98796 148194 197592 238757 296388 337553 477514 592776 675106 716271 955028 1012659 1350212 1432542 1910056 2025318 2148813 2700424 2865084 3037977 4050636 4297626 5730168 6075954 8101272 8595252 9789037 12151908 17190504 19578074 24303816 29367111 39156148 58734222 78312296 88101333 117468444 176202666 234936888 352405332 704810664