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234801696 = 253191091181
BaseRepresentation
bin11011111111011…
…00101000100000
3121100211011101010
431333230220200
5440102123241
635144340520
75550532023
oct1577545040
9540734333
10234801696
111105a2a98
1266774740
1339850a1c
14232811ba
1515930d16
hexdfeca20

234801696 has 96 divisors (see below), whose sum is σ = 655300800. Its totient is φ = 73405440.

The previous prime is 234801643. The next prime is 234801709. The reversal of 234801696 is 696108432.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198226 + ... + 199406.

It is an arithmetic number, because the mean of its divisors is an integer number (6826050).

Almost surely, 2234801696 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 234801696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327650400).

234801696 is an abundant number, since it is smaller than the sum of its proper divisors (420499104).

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

234801696 is a wasteful number, since it uses less digits than its factorization.

234801696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 234801696 is about 15323.2403883774. The cubic root of 234801696 is about 616.9269509785.

The spelling of 234801696 in words is "two hundred thirty-four million, eight hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 109 114 152 218 228 304 327 436 456 608 654 872 912 1181 1308 1744 1824 2071 2362 2616 3488 3543 4142 4724 5232 6213 7086 8284 9448 10464 12426 14172 16568 18896 22439 24852 28344 33136 37792 44878 49704 56688 66272 67317 89756 99408 113376 128729 134634 179512 198816 257458 269268 359024 386187 514916 538536 718048 772374 1029832 1077072 1544748 2059664 2154144 2445851 3089496 4119328 4891702 6178992 7337553 9783404 12357984 14675106 19566808 29350212 39133616 58700424 78267232 117400848 234801696