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348135952 = 24293124203
BaseRepresentation
bin10100110000000…
…010001000010000
3220021002010202011
4110300002020100
51203110322302
654313432304
711425051423
oct2460021020
9807063664
10348135952
1116957176a
129870b694
1357182908
14343439ba
152086b5d7
hex14c02210

348135952 has 40 divisors (see below), whose sum is σ = 720311040. Its totient is φ = 162637440.

The previous prime is 348135929. The next prime is 348135989. The reversal of 348135952 is 259531843.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2283 + ... + 26485.

It is an arithmetic number, because the mean of its divisors is an integer number (18007776).

Almost surely, 2348135952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348135952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360155520).

348135952 is an abundant number, since it is smaller than the sum of its proper divisors (372175088).

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

348135952 is a wasteful number, since it uses less digits than its factorization.

348135952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24271 (or 24265 counting only the distinct ones).

The product of its digits is 129600, while the sum is 40.

The square root of 348135952 is about 18658.4016464434. The cubic root of 348135952 is about 703.4765500278.

The spelling of 348135952 in words is "three hundred forty-eight million, one hundred thirty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1798 3596 7192 14384 24203 48406 96812 193624 387248 701887 750293 1403774 1500586 2807548 3001172 5615096 6002344 11230192 12004688 21758497 43516994 87033988 174067976 348135952