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1334875392 = 28321374229
BaseRepresentation
bin100111110010000…
…1001010100000000
310110000210200210100
41033210021110000
510213212003032
6340243002400
745036152664
oct11744112400
93400720710
101334875392
11625558704
12313069400
131837290c6
14c93dc8a4
157c2cd97c
hex4f909500

1334875392 has 108 divisors (see below), whose sum is σ = 3877784820. Its totient is φ = 441606144.

The previous prime is 1334875379. The next prime is 1334875393. The reversal of 1334875392 is 2935784331.

1334875392 is a `hidden beast` number, since 1 + 3 + 34 + 87 + 539 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1151652096 + 183223296 = 33936^2 + 13536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334875393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313534 + ... + 317762.

It is an arithmetic number, because the mean of its divisors is an integer number (35905415).

Almost surely, 21334875392 is an apocalyptic number.

1334875392 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 1334875392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938892410).

1334875392 is an abundant number, since it is smaller than the sum of its proper divisors (2542909428).

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

1334875392 is a wasteful number, since it uses less digits than its factorization.

1334875392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4371 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 1334875392 is about 36535.9465732038. The cubic root of 1334875392 is about 1101.0665666183.

The spelling of 1334875392 in words is "one billion, three hundred thirty-four million, eight hundred seventy-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 256 274 288 384 411 548 576 768 822 1096 1152 1233 1644 2192 2304 2466 3288 4229 4384 4932 6576 8458 8768 9864 12687 13152 16916 17536 19728 25374 26304 33832 35072 38061 39456 50748 52608 67664 76122 78912 101496 105216 135328 152244 157824 202992 270656 304488 315648 405984 541312 579373 608976 811968 1082624 1158746 1217952 1623936 1738119 2317492 2435904 3247872 3476238 4634984 4871808 5214357 6952476 9269968 9743616 10428714 13904952 18539936 20857428 27809904 37079872 41714856 55619808 74159744 83429712 111239616 148319488 166859424 222479232 333718848 444958464 667437696 1334875392