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34104515022 = 233718921123
BaseRepresentation
bin11111110000110010…
…011001100111001110
310021000210122212111000
4133300302121213032
51024321223440042
623400054041130
72315066410644
oct376062314716
9107023585430
1034104515022
1113511122a06
1267396491a6
1332a684b406
141917607194
15d4914674c
hex7f0c999ce

34104515022 has 96 divisors (see below), whose sum is σ = 77797704960. Its totient is φ = 11072255040.

The previous prime is 34104515017. The next prime is 34104515059. The reversal of 34104515022 is 22051540143.

34104515022 is a `hidden beast` number, since 3 + 4 + 104 + 51 + 502 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30368553 + ... + 30369675.

It is an arithmetic number, because the mean of its divisors is an integer number (810392760).

Almost surely, 234104515022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34104515022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38898852480).

34104515022 is an abundant number, since it is smaller than the sum of its proper divisors (43693189938).

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

34104515022 is a wasteful number, since it uses less digits than its factorization.

34104515022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 34104515022 in words is "thirty-four billion, one hundred four million, five hundred fifteen thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 71 89 142 178 213 267 426 534 639 801 1123 1278 1602 1917 2246 2403 3369 3834 4806 6319 6738 7921 10107 12638 15842 18957 20214 23763 30321 37914 47526 56871 60642 71289 79733 99947 113742 142578 159466 170613 199894 213867 239199 299841 341226 427734 478398 562391 599682 717597 899523 1124782 1435194 1687173 1799046 2152791 2698569 3374346 4305582 5061519 5397138 7096237 8895283 10123038 14192474 15184557 17790566 21288711 26685849 30369114 42577422 53371698 63866133 80057547 127732266 160115094 191598399 240172641 383196798 480345282 631565093 1263130186 1894695279 3789390558 5684085837 11368171674 17052257511 34104515022