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34560255378 = 23114120536221
BaseRepresentation
bin100000001011111100…
…111010010110010010
310022012120012212201110
4200023330322112102
51031234411133003
623513214114150
72332302216015
oct401374722622
9108176185643
1034560255378
11137253aa430
1268461ab956
13334a0a7b6c
14195bd5b37c
15d7416aa03
hex80bf3a592

34560255378 has 64 divisors (see below), whose sum is σ = 77293367424. Its totient is φ = 10210752000.

The previous prime is 34560255341. The next prime is 34560255391. The reversal of 34560255378 is 87355206543.

It is a happy number.

It is a super-4 number, since 4×345602553784 (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5552308 + ... + 5558528.

It is an arithmetic number, because the mean of its divisors is an integer number (1207708866).

Almost surely, 234560255378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34560255378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38646683712).

34560255378 is an abundant number, since it is smaller than the sum of its proper divisors (42733112046).

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

34560255378 is a wasteful number, since it uses less digits than its factorization.

34560255378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8331.

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 34560255378 in words is "thirty-four billion, five hundred sixty million, two hundred fifty-five thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2053 2706 4106 6159 6221 12318 12442 18663 22583 37326 45166 67749 68431 84173 135498 136862 168346 205293 252519 255061 410586 505038 510122 765183 925903 1530366 1851806 2777709 2805671 5555418 5611342 8417013 12771713 16834026 25543426 38315139 76630278 140488843 280977686 421466529 523640233 842933058 1047280466 1570920699 3141841398 5760042563 11520085126 17280127689 34560255378