Search a number
-
+
331464204 = 223337109761
BaseRepresentation
bin10011110000011…
…011111000001100
3212002201010102000
4103300123320030
51134323323304
652520232300
711133253641
oct2360337014
9762633360
10331464204
11160114a65
129300b690
1353896386
1432043dc8
151e176939
hex13c1be0c

331464204 has 96 divisors (see below), whose sum is σ = 891844800. Its totient is φ = 106375680.

The previous prime is 331464193. The next prime is 331464223. The reversal of 331464204 is 402464133.

331464204 is a `hidden beast` number, since 3 + 3 + 14 + 642 + 0 + 4 = 666.

It is a super-3 number, since 3×3314642043 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 435184 + ... + 435944.

It is an arithmetic number, because the mean of its divisors is an integer number (9290050).

Almost surely, 2331464204 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 331464204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445922400).

331464204 is an abundant number, since it is smaller than the sum of its proper divisors (560380596).

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

331464204 is a wasteful number, since it uses less digits than its factorization.

331464204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 331464204 is about 18206.1584086265. The cubic root of 331464204 is about 692.0628625219.

The spelling of 331464204 in words is "three hundred thirty-one million, four hundred sixty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 109 111 148 218 222 327 333 436 444 654 666 761 981 999 1308 1332 1522 1962 1998 2283 2943 3044 3924 3996 4033 4566 5886 6849 8066 9132 11772 12099 13698 16132 20547 24198 27396 28157 36297 41094 48396 56314 72594 82188 82949 84471 108891 112628 145188 165898 168942 217782 248847 253413 331796 337884 435564 497694 506826 746541 760239 995388 1013652 1493082 1520478 2239623 2986164 3040956 3069113 4479246 6138226 8958492 9207339 12276452 18414678 27622017 36829356 55244034 82866051 110488068 165732102 331464204