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34314147 = 327618929
BaseRepresentation
bin1000001011100…
…1011110100011
32101120100011100
42002321132203
532241023042
63223245443
7564444150
oct202713643
971510140
1034314147
11184077aa
12b5a9883
13715583a
1447b3227
15302c24c
hex20b97a3

34314147 has 24 divisors (see below), whose sum is σ = 57580640. Its totient is φ = 19284480.

The previous prime is 34314131. The next prime is 34314173. The reversal of 34314147 is 74141343.

34314147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34314147 - 24 = 34314131 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34314147.

It is not an unprimeable number, because it can be changed into a prime (34314107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622 + ... + 8307.

Almost surely, 234314147 is an apocalyptic number.

34314147 is a deficient number, since it is larger than the sum of its proper divisors (23266493).

34314147 is a wasteful number, since it uses less digits than its factorization.

34314147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9003 (or 9000 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 34314147 is about 5857.8278397372. The cubic root of 34314147 is about 324.9558819798.

The spelling of 34314147 in words is "thirty-four million, three hundred fourteen thousand, one hundred forty-seven".

Divisors: 1 3 7 9 21 61 63 183 427 549 1281 3843 8929 26787 62503 80361 187509 544669 562527 1634007 3812683 4902021 11438049 34314147