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34012968 = 23311128837
BaseRepresentation
bin1000000110111…
…1111100101000
32101000001000120
42001233330220
532201403333
63213003240
7562051113
oct201577450
971001016
1034012968
11182214a0
12b483520
13707b722
14473557a
152ebcdb3
hex206ff28

34012968 has 32 divisors (see below), whose sum is σ = 92763360. Its totient is φ = 10306880.

The previous prime is 34012949. The next prime is 34012973. The reversal of 34012968 is 86921043.

34012968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 64155 + ... + 64682.

It is an arithmetic number, because the mean of its divisors is an integer number (2898855).

Almost surely, 234012968 is an apocalyptic number.

It is an amenable number.

34012968 is an abundant number, since it is smaller than the sum of its proper divisors (58750392).

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

34012968 is a wasteful number, since it uses less digits than its factorization.

34012968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128857 (or 128853 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 34012968 is about 5832.0637856594. The cubic root of 34012968 is about 324.0023624275.

It can be divided in two parts, 34012 and 968, that added together give a triangular number (34980 = T264).

The spelling of 34012968 in words is "thirty-four million, twelve thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 128837 257674 386511 515348 773022 1030696 1417207 1546044 2834414 3092088 4251621 5668828 8503242 11337656 17006484 34012968