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34105952 = 253134381
BaseRepresentation
bin1000001000011…
…0101001100000
32101011202120102
42002012221200
532212342302
63215001532
7562616156
oct202065140
971152512
1034105952
1118285341
12b5092a8
1370b1b4a
14475b3d6
152eda702
hex2086a60

34105952 has 24 divisors (see below), whose sum is σ = 69314112. Its totient is φ = 16502400.

The previous prime is 34105937. The next prime is 34105963. The reversal of 34105952 is 25950143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16199 + ... + 18182.

It is an arithmetic number, because the mean of its divisors is an integer number (2888088).

Almost surely, 234105952 is an apocalyptic number.

34105952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34105952 is an abundant number, since it is smaller than the sum of its proper divisors (35208160).

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

34105952 is a wasteful number, since it uses less digits than its factorization.

34105952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34422 (or 34414 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 34105952 is about 5840.0301369085. The cubic root of 34105952 is about 324.2973442681.

The spelling of 34105952 in words is "thirty-four million, one hundred five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 34381 68762 137524 275048 550096 1065811 1100192 2131622 4263244 8526488 17052976 34105952