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34268409 = 3271035281
BaseRepresentation
bin1000001010111…
…0010011111001
32101111000102100
42002232103321
532233042114
63222254013
7564163620
oct202562371
971430370
1034268409
11183863aa
12b587309
13713aa86
1447a06b7
15301d909
hex20ae4f9

34268409 has 24 divisors (see below), whose sum is σ = 57130112. Its totient is φ = 19388160.

The previous prime is 34268407. The next prime is 34268411. The reversal of 34268409 is 90486243.

It is a happy number.

34268409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34268407) and next prime (34268411).

It is not a de Polignac number, because 34268409 - 21 = 34268407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34268407) 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, 3849 + ... + 9129.

Almost surely, 234268409 is an apocalyptic number.

It is an amenable number.

34268409 is a deficient number, since it is larger than the sum of its proper divisors (22861703).

34268409 is a wasteful number, since it uses less digits than its factorization.

34268409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5397 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34268409 is about 5853.9225310897. The cubic root of 34268409 is about 324.8114377590.

The spelling of 34268409 in words is "thirty-four million, two hundred sixty-eight thousand, four hundred nine".

Divisors: 1 3 7 9 21 63 103 309 721 927 2163 5281 6489 15843 36967 47529 110901 332703 543943 1631829 3807601 4895487 11422803 34268409