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34938912 = 253363947
BaseRepresentation
bin1000010101001…
…0000000100000
32102202002011210
42011102000200
532421021122
63244510120
7602655501
oct205220040
972662153
1034938912
11187a4138
12b84b340
137314018
1448d6ba8
15310240c
hex2152020

34938912 has 24 divisors (see below), whose sum is σ = 91714896. Its totient is φ = 11646272.

The previous prime is 34938899. The next prime is 34938913. The reversal of 34938912 is 21983943.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (34938913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 181878 + ... + 182069.

It is an arithmetic number, because the mean of its divisors is an integer number (3821454).

Almost surely, 234938912 is an apocalyptic number.

34938912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34938912 is an abundant number, since it is smaller than the sum of its proper divisors (56775984).

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

34938912 is a wasteful number, since it uses less digits than its factorization.

34938912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363960 (or 363952 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 34938912 is about 5910.9146500351. The cubic root of 34938912 is about 326.9162126696.

The spelling of 34938912 in words is "thirty-four million, nine hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 363947 727894 1091841 1455788 2183682 2911576 4367364 5823152 8734728 11646304 17469456 34938912