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34456825 = 5213971093
BaseRepresentation
bin1000001101110…
…0010011111001
32101211120212201
42003130103321
532310104300
63230310201
7565610134
oct203342371
971746781
1034456825
11184a4a17
12b658361
1371a5770
14480d21b
15305966a
hex20dc4f9

34456825 has 24 divisors (see below), whose sum is σ = 46530008. Its totient is φ = 25159680.

The previous prime is 34456811. The next prime is 34456847. The reversal of 34456825 is 52865443.

34456825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 5812921 + 28643904 = 2411^2 + 5352^2 .

It is a de Polignac number, because none of the positive numbers 2k-34456825 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 30979 + ... + 32071.

Almost surely, 234456825 is an apocalyptic number.

It is an amenable number.

34456825 is a deficient number, since it is larger than the sum of its proper divisors (12073183).

34456825 is a wasteful number, since it uses less digits than its factorization.

34456825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1208 counting only the distinct ones).

The product of its digits is 115200, while the sum is 37.

The square root of 34456825 is about 5869.9936115809. The cubic root of 34456825 is about 325.4056473286.

The spelling of 34456825 in words is "thirty-four million, four hundred fifty-six thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 65 97 325 485 1093 1261 2425 5465 6305 14209 27325 31525 71045 106021 355225 530105 1378273 2650525 6891365 34456825