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34136307 = 327974759
BaseRepresentation
bin1000001000111…
…0000011110011
32101020022012200
42002032003303
532214330212
63215354243
7563103522
oct202160363
971208180
1034136307
11182a6127
12b522983
1370c28ca
1447684b9
152ee46dc
hex208e0f3

34136307 has 12 divisors (see below), whose sum is σ = 49380240. Its totient is φ = 22724208.

The previous prime is 34136287. The next prime is 34136321. The reversal of 34136307 is 70363143.

It is a happy number.

It is not a de Polignac number, because 34136307 - 26 = 34136243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34136327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4794 + ... + 9552.

It is an arithmetic number, because the mean of its divisors is an integer number (4115020).

Almost surely, 234136307 is an apocalyptic number.

34136307 is a deficient number, since it is larger than the sum of its proper divisors (15243933).

34136307 is a wasteful number, since it uses less digits than its factorization.

34136307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5562 (or 5559 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 34136307 is about 5842.6284324780. The cubic root of 34136307 is about 324.3935261786.

It can be divided in two parts, 34136 and 307, that added together give a palindrome (34443).

The spelling of 34136307 in words is "thirty-four million, one hundred thirty-six thousand, three hundred seven".

Divisors: 1 3 9 797 2391 4759 7173 14277 42831 3792923 11378769 34136307