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4307686164 = 2233432813301
BaseRepresentation
bin1000000001100001…
…00001001100010100
3102010012200010112000
410000300201030110
532310231424124
61551240355300
7211514504535
oct40060411424
912105603460
104307686164
111910638411
12a02775b30
135385b0b32
142cc16868c
151a32a16c9
hex100c21314

4307686164 has 96 divisors (see below), whose sum is σ = 11471940480. Its totient is φ = 1397088000.

The previous prime is 4307686133. The next prime is 4307686171. The reversal of 4307686164 is 4616867034.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1303314 + ... + 1306614.

It is an arithmetic number, because the mean of its divisors is an integer number (119499380).

Almost surely, 24307686164 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 4307686164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5735970240).

4307686164 is an abundant number, since it is smaller than the sum of its proper divisors (7164254316).

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

4307686164 is a wasteful number, since it uses less digits than its factorization.

4307686164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4307686164 is about 65632.9655280028. The cubic root of 4307686164 is about 1627.1016485617.

The spelling of 4307686164 in words is "four billion, three hundred seven million, six hundred eighty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 281 387 516 562 774 843 1124 1161 1548 1686 2322 2529 3301 3372 4644 5058 6602 7587 9903 10116 12083 13204 15174 19806 24166 29709 30348 36249 39612 48332 59418 72498 89127 108747 118836 141943 144996 178254 217494 283886 326241 356508 425829 434988 567772 652482 851658 927581 1277487 1304964 1703316 1855162 2554974 2782743 3710324 3832461 5109948 5565486 7664922 8348229 11130972 15329844 16696458 25044687 33392916 39885983 50089374 79771966 100178748 119657949 159543932 239315898 358973847 478631796 717947694 1076921541 1435895388 2153843082 4307686164