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349335936 = 2733101081
BaseRepresentation
bin10100110100100…
…111000110000000
3220100100002211000
4110310213012000
51203412222221
654355252000
711441210055
oct2464470600
9810302730
10349335936
1116a211294
1298baa000
13574b2b71
143457702c
1520a06e26
hex14d27180

349335936 has 64 divisors (see below), whose sum is σ = 1031036400. Its totient is φ = 116444160.

The previous prime is 349335929. The next prime is 349335977. The reversal of 349335936 is 639533943.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 349335891 and 349335900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47085 + ... + 53996.

Almost surely, 2349335936 is an apocalyptic number.

349335936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

349335936 is an abundant number, since it is smaller than the sum of its proper divisors (681700464).

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

349335936 is a wasteful number, since it uses less digits than its factorization.

349335936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101104 (or 101086 counting only the distinct ones).

The product of its digits is 787320, while the sum is 45.

The square root of 349335936 is about 18690.5306505728. The cubic root of 349335936 is about 704.2838903258.

The spelling of 349335936 in words is "three hundred forty-nine million, three hundred thirty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 101081 202162 303243 404324 606486 808648 909729 1212972 1617296 1819458 2425944 2729187 3234592 3638916 4851888 5458374 6469184 7277832 9703776 10916748 12938368 14555664 19407552 21833496 29111328 38815104 43666992 58222656 87333984 116445312 174667968 349335936