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1334088192 = 29317192689
BaseRepresentation
bin100111110000100…
…1001001000000000
310102222022200221210
41033201021020000
510213011310232
6340214050120
745026363643
oct11741111000
93388280853
101334088192
11625070228
12312949940
131835119c8
14c9275a5a
157c1c55cc
hex4f849200

1334088192 has 160 divisors (see below), whose sum is σ = 3962692800. Its totient is φ = 396361728.

The previous prime is 1334088187. The next prime is 1334088221. The reversal of 1334088192 is 2918804331.

It is a self number, because there is not a number n which added to its sum of digits gives 1334088192.

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, 494784 + ... + 497472.

It is an arithmetic number, because the mean of its divisors is an integer number (24766830).

Almost surely, 21334088192 is an apocalyptic number.

1334088192 is a gapful number since it is divisible by the number (12) 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 1334088192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981346400).

1334088192 is an abundant number, since it is smaller than the sum of its proper divisors (2628604608).

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

1334088192 is a wasteful number, since it uses less digits than its factorization.

1334088192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1334088192 is about 36525.1720324491. The cubic root of 1334088192 is about 1100.8500844798.

The spelling of 1334088192 in words is "one billion, three hundred thirty-four million, eighty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 128 136 152 192 204 228 256 272 304 323 384 408 456 512 544 608 646 768 816 912 969 1088 1216 1292 1536 1632 1824 1938 2176 2432 2584 2689 3264 3648 3876 4352 4864 5168 5378 6528 7296 7752 8067 8704 9728 10336 10756 13056 14592 15504 16134 20672 21512 26112 29184 31008 32268 41344 43024 45713 51091 62016 64536 82688 86048 91426 102182 124032 129072 137139 153273 165376 172096 182852 204364 248064 258144 274278 306546 344192 365704 408728 496128 516288 548556 613092 688384 731408 817456 868547 1032576 1097112 1226184 1376768 1462816 1634912 1737094 2065152 2194224 2452368 2605641 2925632 3269824 3474188 4130304 4388448 4904736 5211282 5851264 6539648 6948376 8776896 9809472 10422564 11702528 13079296 13896752 17553792 19618944 20845128 23405056 26158592 27793504 35107584 39237888 41690256 55587008 70215168 78475776 83380512 111174016 166761024 222348032 333522048 444696064 667044096 1334088192