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34315904 = 27738299
BaseRepresentation
bin1000001011100…
…1111010000000
32101120102120102
42002321322000
532241102104
63223301532
7564452240
oct202717200
971512512
1034315904
1118409057
12b5aa8a8
13715658c
1447b3b20
15302ca1e
hex20b9e80

34315904 has 32 divisors (see below), whose sum is σ = 78132000. Its totient is φ = 14706432.

The previous prime is 34315873. The next prime is 34315907. The reversal of 34315904 is 40951343.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (34315907) 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, 18254 + ... + 20045.

It is an arithmetic number, because the mean of its divisors is an integer number (2441625).

Almost surely, 234315904 is an apocalyptic number.

It is an amenable number.

34315904 is an abundant number, since it is smaller than the sum of its proper divisors (43816096).

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

34315904 is an equidigital number, since it uses as much as digits as its factorization.

34315904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38320 (or 38308 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 34315904 is about 5857.9778080836. The cubic root of 34315904 is about 324.9614281640.

The spelling of 34315904 in words is "thirty-four million, three hundred fifteen thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 38299 76598 153196 268093 306392 536186 612784 1072372 1225568 2144744 2451136 4289488 4902272 8578976 17157952 34315904