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34005918 = 231731812
BaseRepresentation
bin1000000110111…
…0001110011110
32100222200100110
42001232032132
532201142133
63212510450
7562021422
oct201561636
970880313
1034005918
1118217171
12b47b426
13707845b
144732b82
152ebac63
hex206e39e

34005918 has 24 divisors (see below), whose sum is σ = 68784984. Its totient is φ = 11207520.

The previous prime is 34005911. The next prime is 34005919. The reversal of 34005918 is 81950043.

34005918 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34005911) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 187788 + ... + 187968.

It is an arithmetic number, because the mean of its divisors is an integer number (2866041).

Almost surely, 234005918 is an apocalyptic number.

34005918 is an abundant number, since it is smaller than the sum of its proper divisors (34779066).

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

34005918 is a wasteful number, since it uses less digits than its factorization.

34005918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 34005918 is about 5831.4593370785. The cubic root of 34005918 is about 323.9799751379.

The spelling of 34005918 in words is "thirty-four million, five thousand, nine hundred eighteen".

Divisors: 1 2 3 6 173 181 346 362 519 543 1038 1086 31313 32761 62626 65522 93939 98283 187878 196566 5667653 11335306 17002959 34005918