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34258968 = 23323115349
BaseRepresentation
bin1000001010110…
…0000000011000
32101110112110200
42002230000120
532232241333
63222142200
7564124242
oct202540030
971415420
1034258968
111837a2a7
12b581960
1371366a3
14479b092
15301ac13
hex20ac018

34258968 has 48 divisors (see below), whose sum is σ = 95784000. Its totient is φ = 11050560.

The previous prime is 34258951. The next prime is 34259009. The reversal of 34258968 is 86985243.

34258968 is a `hidden beast` number, since 3 + 4 + 2 + 589 + 68 = 666.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 5443 + ... + 9906.

It is an arithmetic number, because the mean of its divisors is an integer number (1995500).

Almost surely, 234258968 is an apocalyptic number.

It is an amenable number.

34258968 is an abundant number, since it is smaller than the sum of its proper divisors (61525032).

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

34258968 is a wasteful number, since it uses less digits than its factorization.

34258968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15392 (or 15385 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 34258968 is about 5853.1160931593. The cubic root of 34258968 is about 324.7816063338.

The spelling of 34258968 in words is "thirty-four million, two hundred fifty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 15349 30698 46047 61396 92094 122792 138141 184188 276282 368376 475819 552564 951638 1105128 1427457 1903276 2854914 3806552 4282371 5709828 8564742 11419656 17129484 34258968