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34356978 = 23219100459
BaseRepresentation
bin1000001100001…
…1111011110010
32101122111220200
42003003323302
532243410403
63224220030
7565013055
oct203037362
971574820
1034356978
11184369a7
12b60a616
13716c196
1447c4a9c
153039ca3
hex20c3ef2

34356978 has 24 divisors (see below), whose sum is σ = 78358800. Its totient is φ = 10849464.

The previous prime is 34356961. The next prime is 34357003. The reversal of 34356978 is 87965343.

34356978 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 49888 + ... + 50571.

It is an arithmetic number, because the mean of its divisors is an integer number (3264950).

Almost surely, 234356978 is an apocalyptic number.

34356978 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

34356978 is an abundant number, since it is smaller than the sum of its proper divisors (44001822).

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

34356978 is a wasteful number, since it uses less digits than its factorization.

34356978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100486 (or 100483 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 34356978 is about 5861.4825769595. The cubic root of 34356978 is about 325.0910293335.

The spelling of 34356978 in words is "thirty-four million, three hundred fifty-six thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 100459 200918 301377 602754 904131 1808262 1908721 3817442 5726163 11452326 17178489 34356978