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34059136 = 27232503
BaseRepresentation
bin1000000111101…
…1001110000000
32101002101100111
42001323032000
532204343021
63214001104
7562332526
oct201731600
971071314
1034059136
1118253151
12b4a6194
137096747
144748316
152ecb8e1
hex207b380

34059136 has 48 divisors (see below), whose sum is σ = 71071560. Its totient is φ = 16256768.

The previous prime is 34059127. The next prime is 34059163. The reversal of 34059136 is 63195043.

It is a junction number, because it is equal to n+sod(n) for n = 34059098 and 34059107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67461 + ... + 67963.

Almost surely, 234059136 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 34059136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35535780).

34059136 is an abundant number, since it is smaller than the sum of its proper divisors (37012424).

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

34059136 is an equidigital number, since it uses as much as digits as its factorization.

34059136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 34059136 is about 5836.0205619926. The cubic root of 34059136 is about 324.1488925990.

The spelling of 34059136 in words is "thirty-four million, fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 503 529 736 1006 1058 1472 2012 2116 2944 4024 4232 8048 8464 11569 16096 16928 23138 32192 33856 46276 64384 67712 92552 185104 266087 370208 532174 740416 1064348 1480832 2128696 4257392 8514784 17029568 34059136