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34268957 = 1783149163
BaseRepresentation
bin1000001010111…
…0011100011101
32101111001011122
42002232130131
532233101312
63222300325
7564165332
oct202563435
971431148
1034268957
1118386858
12b5876a5
13713b0b8
1447a0989
15301db72
hex20ae71d

34268957 has 16 divisors (see below), whose sum is σ = 37195200. Its totient is φ = 31456512.

The previous prime is 34268953. The next prime is 34268977. The reversal of 34268957 is 75986243.

34268957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 34268957 - 22 = 34268953 is a prime.

It is a super-2 number, since 2×342689572 = 2348722827735698, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34268953) 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 15 ways as a sum of consecutive naturals, for example, 210158 + ... + 210320.

It is an arithmetic number, because the mean of its divisors is an integer number (2324700).

Almost surely, 234268957 is an apocalyptic number.

It is an amenable number.

34268957 is a deficient number, since it is larger than the sum of its proper divisors (2926243).

34268957 is a wasteful number, since it uses less digits than its factorization.

34268957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412.

The product of its digits is 362880, while the sum is 44.

The square root of 34268957 is about 5853.9693371250. The cubic root of 34268957 is about 324.8131691468.

The spelling of 34268957 in words is "thirty-four million, two hundred sixty-eight thousand, nine hundred fifty-seven".

Divisors: 1 17 83 149 163 1411 2533 2771 12367 13529 24287 210239 229993 412879 2015821 34268957