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34367340117 = 3112345279763
BaseRepresentation
bin100000000000011100…
…111111111001010101
310021201010012202201210
4200000130333321111
51030341014340432
623442123212033
72324440366605
oct400034777125
9107633182653
1034367340117
1113636516330
1267b1677019
133319131516
1419404a0c05
15d622608cc
hex80073fe55

34367340117 has 16 divisors (see below), whose sum is σ = 52162288128. Its totient is φ = 19923095280.

The previous prime is 34367340107. The next prime is 34367340143. The reversal of 34367340117 is 71104376343.

It is not a de Polignac number, because 34367340117 - 28 = 34367339861 is a prime.

It is a super-2 number, since 2×343673401172 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34367340107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22639123 + ... + 22640640.

It is an arithmetic number, because the mean of its divisors is an integer number (3260143008).

Almost surely, 234367340117 is an apocalyptic number.

It is an amenable number.

34367340117 is a deficient number, since it is larger than the sum of its proper divisors (17794948011).

34367340117 is a wasteful number, since it uses less digits than its factorization.

34367340117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45279800.

The product of its (nonzero) digits is 127008, while the sum is 39.

The spelling of 34367340117 in words is "thirty-four billion, three hundred sixty-seven million, three hundred forty thousand, one hundred seventeen".

Divisors: 1 3 11 23 33 69 253 759 45279763 135839289 498077393 1041434549 1494232179 3124303647 11455780039 34367340117