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348768192 = 26317106853
BaseRepresentation
bin10100110010011…
…100011111000000
3220022021021000110
4110302130133000
51203241040232
654335151320
711433323613
oct2462343700
9808237013
10348768192
11169963783
1298975540
1357344616
143446a17a
1520943acc
hex14c9c7c0

348768192 has 56 divisors (see below), whose sum is σ = 977072976. Its totient is φ = 109416448.

The previous prime is 348768187. The next prime is 348768221. The reversal of 348768192 is 291867843.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 50163 + ... + 56690.

Almost surely, 2348768192 is an apocalyptic number.

348768192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

348768192 is an abundant number, since it is smaller than the sum of its proper divisors (628304784).

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

348768192 is a wasteful number, since it uses less digits than its factorization.

348768192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106885 (or 106875 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 348768192 is about 18675.3364628325. The cubic root of 348768192 is about 703.9021472122.

The spelling of 348768192 in words is "three hundred forty-eight million, seven hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 106853 213706 320559 427412 641118 854824 1282236 1709648 1816501 2564472 3419296 3633002 5128944 5449503 6838592 7266004 10257888 10899006 14532008 20515776 21798012 29064016 43596024 58128032 87192048 116256064 174384096 348768192