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34026106160 = 2452335951511
BaseRepresentation
bin11111101100000111…
…010010110100110000
310020211100010021202002
4133230013102310300
51024141140344120
623344213313132
72313125062454
oct375407226460
9106740107662
1034026106160
11134809391a2
1267173357a8
133293527337
14190b036664
15d42309375
hex7ec1d2d30

34026106160 has 80 divisors (see below), whose sum is σ = 82781844480. Its totient is φ = 12982168320.

The previous prime is 34026106157. The next prime is 34026106171. The reversal of 34026106160 is 6160162043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634805 + ... + 686315.

It is an arithmetic number, because the mean of its divisors is an integer number (1034773056).

Almost surely, 234026106160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34026106160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41390922240).

34026106160 is an abundant number, since it is smaller than the sum of its proper divisors (48755738320).

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

34026106160 is a wasteful number, since it uses less digits than its factorization.

34026106160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51906 (or 51900 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 34026106160 in words is "thirty-four billion, twenty-six million, one hundred six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 359 368 460 718 920 1436 1795 1840 2872 3590 5744 7180 8257 14360 16514 28720 33028 41285 51511 66056 82570 103022 132112 165140 206044 257555 330280 412088 515110 660560 824176 1030220 1184753 2060440 2369506 4120880 4739012 5923765 9478024 11847530 18492449 18956048 23695060 36984898 47390120 73969796 92462245 94780240 147939592 184924490 295879184 369848980 425326327 739697960 850652654 1479395920 1701305308 2126631635 3402610616 4253263270 6805221232 8506526540 17013053080 34026106160