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34700128 = 2517227281
BaseRepresentation
bin1000010001011…
…1101101100000
32102021221121221
42010113231200
532340401003
63235424424
7600642361
oct204275540
972257557
1034700128
11186507a1
12b755114
13725c428
144873b68
1530a67bd
hex2117b60

34700128 has 48 divisors (see below), whose sum is σ = 72911664. Its totient is φ = 16199680.

The previous prime is 34700089. The next prime is 34700143. The reversal of 34700128 is 82100743.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123348 + ... + 123628.

It is an arithmetic number, because the mean of its divisors is an integer number (1518993).

Almost surely, 234700128 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 34700128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36455832).

34700128 is an abundant number, since it is smaller than the sum of its proper divisors (38211536).

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

34700128 is a wasteful number, since it uses less digits than its factorization.

34700128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 34700128 is about 5890.6814546366. The cubic root of 34700128 is about 326.1697586508.

The spelling of 34700128 in words is "thirty-four million, seven hundred thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 227 272 281 454 544 562 908 1124 1816 2248 3632 3859 4496 4777 7264 7718 8992 9554 15436 19108 30872 38216 61744 63787 76432 123488 127574 152864 255148 510296 1020592 1084379 2041184 2168758 4337516 8675032 17350064 34700128