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331924432 = 2472677189
BaseRepresentation
bin10011110010001…
…100001111010000
3212010120111201111
4103302030033100
51134433040212
652534143104
711140211500
oct2362141720
9763514644
10331924432
111603a9814
12931b1a94
13539c79b8
1432123a00
151e217ea7
hex13c8c3d0

331924432 has 120 divisors (see below), whose sum is σ = 778610880. Its totient is φ = 136604160.

The previous prime is 331924429. The next prime is 331924441. The reversal of 331924432 is 234429133.

It is a super-2 number, since 2×3319244322 = 220347657117045248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331924394 and 331924403.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3729444 + ... + 3729532.

It is an arithmetic number, because the mean of its divisors is an integer number (6488424).

Almost surely, 2331924432 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 331924432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389305440).

331924432 is an abundant number, since it is smaller than the sum of its proper divisors (446686448).

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

331924432 is a wasteful number, since it uses less digits than its factorization.

331924432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 236 counting only the distinct ones).

The product of its digits is 15552, while the sum is 31.

The square root of 331924432 is about 18218.7933738763. The cubic root of 331924432 is about 692.3830171616.

The spelling of 331924432 in words is "three hundred thirty-one million, nine hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 67 71 89 98 112 134 142 178 196 268 284 356 392 469 497 536 568 623 712 784 938 994 1072 1136 1246 1424 1876 1988 2492 3283 3479 3752 3976 4361 4757 4984 5963 6319 6566 6958 7504 7952 8722 9514 9968 11926 12638 13132 13916 17444 19028 23852 25276 26264 27832 33299 34888 38056 41741 44233 47704 50552 52528 55664 66598 69776 76112 83482 88466 95408 101104 133196 166964 176932 233093 266392 292187 309631 333928 353864 423373 466186 532784 584374 619262 667856 707728 846746 932372 1168748 1238524 1693492 1864744 2337496 2477048 2963611 3386984 3729488 4674992 4954096 5927222 6773968 11854444 20745277 23708888 41490554 47417776 82981108 165962216 331924432