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34369026768 = 2432238673797
BaseRepresentation
bin100000000000100011…
…011011101011010000
310021201020101110101100
4200000203123223100
51030341432324033
623442223304400
72324460623136
oct400043335320
9107636343340
1034369026768
111363746855a
1267b214b100
1333195a213b
1419407bd756
15d62495513
hex8008dbad0

34369026768 has 30 divisors (see below), whose sum is σ = 96185540594. Its totient is φ = 11456342208.

The previous prime is 34369026761. The next prime is 34369026779. The reversal of 34369026768 is 86762096343.

34369026768 is a `hidden beast` number, since 3 + 436 + 90 + 2 + 67 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23497210944 + 10871815824 = 153288^2 + 104268^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34369026761) 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 5 ways as a sum of consecutive naturals, for example, 119336755 + ... + 119337042.

Almost surely, 234369026768 is an apocalyptic number.

It is an amenable number.

34369026768 is an abundant number, since it is smaller than the sum of its proper divisors (61816513826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34369026768 is a wasteful number, since it uses less digits than its factorization.

34369026768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238673811 (or 238673802 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 34369026768 in words is "thirty-four billion, three hundred sixty-nine million, twenty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 238673797 477347594 716021391 954695188 1432042782 1909390376 2148064173 2864085564 3818780752 4296128346 5728171128 8592256692 11456342256 17184513384 34369026768