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344201952 = 2536135849
BaseRepresentation
bin10100100001000…
…001101011100000
3212222200021022110
4110201001223200
51201103430302
654053235320
711346445143
oct2441015340
9788607273
10344201952
11167325026
1297332b40
13564060c3
14339dc05a
1520340b6c
hex14841ae0

344201952 has 48 divisors (see below), whose sum is σ = 905158800. Its totient is φ = 114527232.

The previous prime is 344201939. The next prime is 344201983. The reversal of 344201952 is 259102443.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3442019522 = 236949967521220608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55924 + ... + 61772.

It is an arithmetic number, because the mean of its divisors is an integer number (18857475).

Almost surely, 2344201952 is an apocalyptic number.

344201952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

344201952 is an abundant number, since it is smaller than the sum of its proper divisors (560956848).

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

344201952 is a wasteful number, since it uses less digits than its factorization.

344201952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6475 (or 6467 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 344201952 is about 18552.6804532391. The cubic root of 344201952 is about 700.8167011929.

The spelling of 344201952 in words is "three hundred forty-four million, two hundred one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 613 1226 1839 2452 3678 4904 5849 7356 9808 11698 14712 17547 19616 23396 29424 35094 46792 58848 70188 93584 140376 187168 280752 561504 3585437 7170874 10756311 14341748 21512622 28683496 43025244 57366992 86050488 114733984 172100976 344201952