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34064856 = 2332767589
BaseRepresentation
bin1000000111110…
…0100111011000
32101002200012100
42001330213120
532210033411
63214043400
7562355310
oct201744730
971080170
1034064856
1118257481
12b4a9560
137099227
14474a440
152ecd456
hex207c9d8

34064856 has 48 divisors (see below), whose sum is σ = 105440400. Its totient is φ = 9732672.

The previous prime is 34064837. The next prime is 34064857. The reversal of 34064856 is 65846043.

34064856 is a `hidden beast` number, since 3 + 4 + 0 + 648 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34064856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34064857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33291 + ... + 34298.

It is an arithmetic number, because the mean of its divisors is an integer number (2196675).

Almost surely, 234064856 is an apocalyptic number.

34064856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34064856 is an abundant number, since it is smaller than the sum of its proper divisors (71375544).

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

34064856 is a wasteful number, since it uses less digits than its factorization.

34064856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67608 (or 67601 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 34064856 is about 5836.5106013782. The cubic root of 34064856 is about 324.1670377831.

The spelling of 34064856 in words is "thirty-four million, sixty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 67589 135178 202767 270356 405534 473123 540712 608301 811068 946246 1216602 1419369 1622136 1892492 2433204 2838738 3784984 4258107 4866408 5677476 8516214 11354952 17032428 34064856