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34604113356 = 22341922724763
BaseRepresentation
bin100000001110100100…
…001101110111001100
310022022121202002120000
4200032210031313030
51031332123111411
623521422124300
72333344052601
oct401644156714
9108277662500
1034604113356
111374813559a
126858a20690
1333561c2727
141963ad66a8
15d77e30956
hex80e90ddcc

34604113356 has 120 divisors (see below), whose sum is σ = 95646492480. Its totient is φ = 10879036128.

The previous prime is 34604113273. The next prime is 34604113363. The reversal of 34604113356 is 65331140643.

34604113356 is a `hidden beast` number, since 3 + 4 + 604 + 1 + 13 + 35 + 6 = 666.

It is a super-2 number, since 2×346041133562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34604113356.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1385031 + ... + 1409793.

It is an arithmetic number, because the mean of its divisors is an integer number (797054104).

Almost surely, 234604113356 is an apocalyptic number.

34604113356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34604113356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47823246240).

34604113356 is an abundant number, since it is smaller than the sum of its proper divisors (61042379124).

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

34604113356 is a wasteful number, since it uses less digits than its factorization.

34604113356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25025 (or 25014 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 34604113356 its reverse (65331140643), we get a palindrome (99935253999).

The spelling of 34604113356 in words is "thirty-four billion, six hundred four million, one hundred thirteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 227 228 324 342 454 513 681 684 908 1026 1362 1539 2043 2052 2724 3078 4086 4313 6129 6156 8172 8626 12258 12939 17252 18387 24516 24763 25878 36774 38817 49526 51756 73548 74289 77634 99052 116451 148578 155268 222867 232902 297156 349353 445734 465804 470497 668601 698706 891468 940994 1337202 1397412 1411491 1881988 2005803 2674404 2822982 4011606 4234473 5621201 5645964 8023212 8468946 11242402 12703419 16863603 16937892 22484804 25406838 33727206 38110257 50590809 50813676 67454412 76220514 101181618 106802819 151772427 152441028 202363236 213605638 303544854 320408457 427211276 455317281 607089708 640816914 910634562 961225371 1281633828 1821269124 1922450742 2883676113 3844901484 5767352226 8651028339 11534704452 17302056678 34604113356