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331486672 = 241117234817
BaseRepresentation
bin10011110000100…
…001010111010000
3212002202021020011
4103300201113100
51134330033142
652520524304
711133406306
oct2360412720
9762667204
10331486672
1116012a930
1293020694
13538a367a
143204c276
151e17d417
hex13c215d0

331486672 has 80 divisors (see below), whose sum is σ = 774271872. Its totient is φ = 135618560.

The previous prime is 331486669. The next prime is 331486679. The reversal of 331486672 is 276684133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331486679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66408 + ... + 71224.

Almost surely, 2331486672 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 331486672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387135936).

331486672 is an abundant number, since it is smaller than the sum of its proper divisors (442785200).

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

331486672 is a wasteful number, since it uses less digits than its factorization.

331486672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876 (or 4870 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 331486672 is about 18206.7754421259. The cubic root of 331486672 is about 692.0784991194.

The spelling of 331486672 in words is "three hundred thirty-one million, four hundred eighty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 22 23 34 44 46 68 88 92 136 176 184 187 253 272 368 374 391 506 748 782 1012 1496 1564 2024 2992 3128 4048 4301 4817 6256 8602 9634 17204 19268 34408 38536 52987 68816 77072 81889 105974 110791 163778 211948 221582 327556 423896 443164 655112 847792 886328 900779 1218701 1310224 1772656 1801558 1883447 2437402 3603116 3766894 4874804 7206232 7533788 9749608 14412464 15067576 19499216 20717917 30135152 41435834 82871668 165743336 331486672