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34090128 = 2432236737
BaseRepresentation
bin1000001000001…
…0110010010000
32101010221212100
42002002302100
532211341003
63214400400
7562522062
oct202026220
971127770
1034090128
1118274466
12b500100
1370a7897
144755732
152ed5ba3
hex2082c90

34090128 has 30 divisors (see below), whose sum is σ = 95405414. Its totient is φ = 11363328.

The previous prime is 34090127. The next prime is 34090139. The reversal of 34090128 is 82109043.

It can be written as a sum of positive squares in only one way, i.e., 28387584 + 5702544 = 5328^2 + 2388^2 .

It is not an unprimeable number, because it can be changed into a prime (34090127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 118225 + ... + 118512.

Almost surely, 234090128 is an apocalyptic number.

It is an amenable number.

34090128 is an abundant number, since it is smaller than the sum of its proper divisors (61315286).

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

34090128 is a wasteful number, since it uses less digits than its factorization.

34090128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236751 (or 236742 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 34090128 is about 5838.6751921990. The cubic root of 34090128 is about 324.2471822024.

The spelling of 34090128 in words is "thirty-four million, ninety thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 236737 473474 710211 946948 1420422 1893896 2130633 2840844 3787792 4261266 5681688 8522532 11363376 17045064 34090128