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34355264 = 26536801
BaseRepresentation
bin1000001100001…
…1100001000000
32101122102120012
42003003201000
532243332024
63224204052
7565005056
oct203034100
971572505
1034355264
1118435689
12b609628
13716b478
1447c41d6
15303950e
hex20c3840

34355264 has 14 divisors (see below), whose sum is σ = 68173854. Its totient is φ = 17177600.

The previous prime is 34355263. The next prime is 34355281. The reversal of 34355264 is 46255343.

It can be written as a sum of positive squares in only one way, i.e., 26956864 + 7398400 = 5192^2 + 2720^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 34355264.

It is not an unprimeable number, because it can be changed into a prime (34355263) by changing a digit.

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 as a sum of consecutive naturals, namely, 268337 + ... + 268464.

It is an arithmetic number, because the mean of its divisors is an integer number (4869561).

Almost surely, 234355264 is an apocalyptic number.

It is an amenable number.

34355264 is a deficient number, since it is larger than the sum of its proper divisors (33818590).

34355264 is an equidigital number, since it uses as much as digits as its factorization.

34355264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536813 (or 536803 counting only the distinct ones).

The product of its digits is 43200, while the sum is 32.

The square root of 34355264 is about 5861.3363663929. The cubic root of 34355264 is about 325.0856231994.

The spelling of 34355264 in words is "thirty-four million, three hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 536801 1073602 2147204 4294408 8588816 17177632 34355264