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34927136 = 252961617
BaseRepresentation
bin1000010100111…
…1001000100000
32102201111000122
42011033020200
532420132021
63244335412
7602606246
oct205171040
972644018
1034927136
1118796302
12b844568
13730b85a
1448d2796
1530edbab
hex214f220

34927136 has 48 divisors (see below), whose sum is σ = 72417240. Its totient is φ = 16558080.

The previous prime is 34927127. The next prime is 34927141. The reversal of 34927136 is 63172943.

It can be written as a sum of positive squares in 4 ways, for example, as 10523536 + 24403600 = 3244^2 + 4940^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34927096 and 34927105.

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, 56300 + ... + 56916.

Almost surely, 234927136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34927136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36208620).

34927136 is an abundant number, since it is smaller than the sum of its proper divisors (37490104).

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

34927136 is a wasteful number, since it uses less digits than its factorization.

34927136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 709 counting only the distinct ones).

The product of its digits is 27216, while the sum is 35.

The square root of 34927136 is about 5909.9184427537. The cubic root of 34927136 is about 326.8794800059.

The spelling of 34927136 in words is "thirty-four million, nine hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 61 116 122 232 244 464 488 617 928 976 1234 1769 1952 2468 3538 4936 7076 9872 14152 17893 19744 28304 35786 37637 56608 71572 75274 143144 150548 286288 301096 572576 602192 1091473 1204384 2182946 4365892 8731784 17463568 34927136