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34369386768 = 2432238676297
BaseRepresentation
bin100000000000100100…
…110011100100010000
310021201021001202012200
4200000210303210100
51030342030334033
623442235123200
72324463652533
oct400044634420
9107637052180
1034369386768
1113637693a82
1267b22a3500
133319699c62
141940874a1a
15d62517013
hex800933910

34369386768 has 30 divisors (see below), whose sum is σ = 96186548094. Its totient is φ = 11456462208.

The previous prime is 34369386763. The next prime is 34369386769. The reversal of 34369386768 is 86768396343.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 24350978304 + 10018408464 = 156048^2 + 100092^2 .

It is not an unprimeable number, because it can be changed into a prime (34369386763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 119338005 + ... + 119338292.

Almost surely, 234369386768 is an apocalyptic number.

It is an amenable number.

34369386768 is an abundant number, since it is smaller than the sum of its proper divisors (61817161326).

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

34369386768 is a wasteful number, since it uses less digits than its factorization.

34369386768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238676311 (or 238676302 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 63.

The spelling of 34369386768 in words is "thirty-four billion, three hundred sixty-nine million, three hundred eighty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 238676297 477352594 716028891 954705188 1432057782 1909410376 2148086673 2864115564 3818820752 4296173346 5728231128 8592346692 11456462256 17184693384 34369386768