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34982912 = 210127269
BaseRepresentation
bin1000010101110…
…0110000000000
32102211022112102
42011130300000
532423423122
63245445532
7603230666
oct205346000
972738472
1034982912
11188241a8
12b8708a8
13732b063
144908c36
153110492
hex215cc00

34982912 has 44 divisors (see below), whose sum is σ = 70744320. Its totient is φ = 17289216.

The previous prime is 34982873. The next prime is 34982939. The reversal of 34982912 is 21928943.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129914 + ... + 130182.

Almost surely, 234982912 is an apocalyptic number.

34982912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34982912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35372160).

34982912 is an abundant number, since it is smaller than the sum of its proper divisors (35761408).

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

34982912 is a wasteful number, since it uses less digits than its factorization.

34982912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 398 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 34982912 is about 5914.6354071912. The cubic root of 34982912 is about 327.0533880853.

The spelling of 34982912 in words is "thirty-four million, nine hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 269 508 512 538 1016 1024 1076 2032 2152 4064 4304 8128 8608 16256 17216 32512 34163 34432 65024 68326 68864 130048 136652 137728 273304 275456 546608 1093216 2186432 4372864 8745728 17491456 34982912