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34313952 = 253357437
BaseRepresentation
bin1000001011100…
…1011011100000
32101120022220010
42002321123200
532241021302
63223244520
7564443451
oct202713340
971508803
1034313952
1118407642
12b5a9740
13715571a
1447b3128
15302c16c
hex20b96e0

34313952 has 24 divisors (see below), whose sum is σ = 90074376. Its totient is φ = 11437952.

The previous prime is 34313921. The next prime is 34313977. The reversal of 34313952 is 25931343.

It is a tau number, because it is divible by the number of its divisors (24).

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 3 ways as a sum of consecutive naturals, for example, 178623 + ... + 178814.

It is an arithmetic number, because the mean of its divisors is an integer number (3753099).

Almost surely, 234313952 is an apocalyptic number.

34313952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34313952 is an abundant number, since it is smaller than the sum of its proper divisors (55760424).

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

34313952 is a wasteful number, since it uses less digits than its factorization.

34313952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357450 (or 357442 counting only the distinct ones).

The product of its digits is 9720, while the sum is 30.

The square root of 34313952 is about 5857.8111953186. The cubic root of 34313952 is about 324.9552664269.

The spelling of 34313952 in words is "thirty-four million, three hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 357437 714874 1072311 1429748 2144622 2859496 4289244 5718992 8578488 11437984 17156976 34313952