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1334912796 = 2232738313831
BaseRepresentation
bin100111110010001…
…0010011100011100
310110000212121002200
41033210102130130
510213214202141
6340243451500
745036400020
oct11744223434
93400777080
101334912796
11625583818
12313086b90
13183740139
14c940c380
157c2d9ab6
hex4f91271c

1334912796 has 72 divisors (see below), whose sum is σ = 3866763264. Its totient is φ = 380380320.

The previous prime is 1334912791. The next prime is 1334912797. The reversal of 1334912796 is 6972194331.

1334912796 is a `hidden beast` number, since 133 + 491 + 27 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334912791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89601 + ... + 103431.

Almost surely, 21334912796 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 1334912796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933381632).

1334912796 is an abundant number, since it is smaller than the sum of its proper divisors (2531850468).

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

1334912796 is a wasteful number, since it uses less digits than its factorization.

1334912796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14231 (or 14226 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 1334912796 is about 36536.4584490615. The cubic root of 1334912796 is about 1101.0768507016.

The spelling of 1334912796 in words is "one billion, three hundred thirty-four million, nine hundred twelve thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 383 766 1149 1532 2298 2681 3447 4596 5362 6894 8043 10724 13788 13831 16086 24129 27662 32172 41493 48258 55324 82986 96516 96817 124479 165972 193634 248958 290451 387268 497916 580902 871353 1161804 1742706 3485412 5297273 10594546 15891819 21189092 31783638 37080911 47675457 63567276 74161822 95350914 111242733 148323644 190701828 222485466 333728199 444970932 667456398 1334912796