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234033253824 = 2632694531313
BaseRepresentation
bin1101100111110101111…
…0000000110111000000
3211101002011212002222210
43121331132000313000
512313300003110244
6255302520502120
722623363556236
oct3317536006700
9741064762883
10234033253824
1190286741557
123943531a940
13190b91799a6
14b482058956
15614b1e14b9
hex367d780dc0

234033253824 has 56 divisors (see below), whose sum is σ = 621515028240. Its totient is φ = 77721063424.

The previous prime is 234033253789. The next prime is 234033253877. The reversal of 234033253824 is 428352330432.

234033253824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2214009 + ... + 2317304.

Almost surely, 2234033253824 is an apocalyptic number.

234033253824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234033253824 is an abundant number, since it is smaller than the sum of its proper divisors (387481774416).

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

234033253824 is a wasteful number, since it uses less digits than its factorization.

234033253824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4531597 (or 4531587 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

The spelling of 234033253824 in words is "two hundred thirty-four billion, thirty-three million, two hundred fifty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 269 538 807 1076 1614 2152 3228 4304 6456 8608 12912 17216 25824 51648 4531313 9062626 13593939 18125252 27187878 36250504 54375756 72501008 108751512 145002016 217503024 290004032 435006048 870012096 1218923197 2437846394 3656769591 4875692788 7313539182 9751385576 14627078364 19502771152 29254156728 39005542304 58508313456 78011084608 117016626912 234033253824