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34355313 = 333893271
BaseRepresentation
bin1000001100001…
…1100001110001
32101122102122000
42003003201301
532243332223
63224204213
7565005156
oct203034161
971572560
1034355313
1118435723
12b609669
13716b4b5
1447c422d
153039543
hex20c3871

34355313 has 16 divisors (see below), whose sum is σ = 51043200. Its totient is φ = 22837680.

The previous prime is 34355311. The next prime is 34355329. The reversal of 34355313 is 31355343.

It is a happy number.

34355313 is a `hidden beast` number, since 343 + 5 + 5 + 313 = 666.

It is not a de Polignac number, because 34355313 - 21 = 34355311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34355311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8868 + ... + 12138.

It is an arithmetic number, because the mean of its divisors is an integer number (3190200).

Almost surely, 234355313 is an apocalyptic number.

It is an amenable number.

34355313 is a deficient number, since it is larger than the sum of its proper divisors (16687887).

34355313 is a wasteful number, since it uses less digits than its factorization.

34355313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3663 counting only the distinct ones).

The product of its digits is 8100, while the sum is 27.

The square root of 34355313 is about 5861.3405463256. The cubic root of 34355313 is about 325.0857777530.

The spelling of 34355313 in words is "thirty-four million, three hundred fifty-five thousand, three hundred thirteen".

Divisors: 1 3 9 27 389 1167 3271 3501 9813 10503 29439 88317 1272419 3817257 11451771 34355313