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34361328 = 2433472063
BaseRepresentation
bin1000001100010…
…0111111110000
32101122201212210
42003010333300
532244030303
63224252120
7565031541
oct203047760
971581783
1034361328
111843a1a1
12b611040
137171161
1447c64c8
15303b203
hex20c4ff0

34361328 has 40 divisors (see below), whose sum is σ = 89065728. Its totient is φ = 11415232.

The previous prime is 34361303. The next prime is 34361339. The reversal of 34361328 is 82316343.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34361295 and 34361304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15625 + ... + 17687.

Almost surely, 234361328 is an apocalyptic number.

It is an amenable number.

34361328 is an abundant number, since it is smaller than the sum of its proper divisors (54704400).

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

34361328 is a wasteful number, since it uses less digits than its factorization.

34361328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2415 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 34361328 is about 5861.8536317448. The cubic root of 34361328 is about 325.1047488784.

The spelling of 34361328 in words is "thirty-four million, three hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 347 694 1041 1388 2063 2082 2776 4126 4164 5552 6189 8252 8328 12378 16504 16656 24756 33008 49512 99024 715861 1431722 2147583 2863444 4295166 5726888 8590332 11453776 17180664 34361328