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349675968 = 2632962801
BaseRepresentation
bin10100110101111…
…010000111000000
3220100222101020210
4110311322013000
51204004112333
654410434120
711444124315
oct2465720700
9810871223
10349675968
1116a423804
1299132940
13575a1875
1434624d0c
1520a72a63
hex14d7a1c0

349675968 has 56 divisors (see below), whose sum is σ = 957102480. Its totient is φ = 112537600.

The previous prime is 349675951. The next prime is 349675987. The reversal of 349675968 is 869576943.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 25833 + ... + 36968.

Almost surely, 2349675968 is an apocalyptic number.

It is an amenable number.

349675968 is an abundant number, since it is smaller than the sum of its proper divisors (607426512).

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

349675968 is a wasteful number, since it uses less digits than its factorization.

349675968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62845 (or 62835 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 57.

The square root of 349675968 is about 18699.6248090704. The cubic root of 349675968 is about 704.5123250757.

The spelling of 349675968 in words is "three hundred forty-nine million, six hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 62801 125602 188403 251204 376806 502408 753612 1004816 1507224 1821229 2009632 3014448 3642458 4019264 5463687 6028896 7284916 10927374 12057792 14569832 21854748 29139664 43709496 58279328 87418992 116558656 174837984 349675968