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813696336 = 2432471091103
BaseRepresentation
bin110000100000000…
…000010101010000
32002201010001112100
4300200000111100
53131301240321
6212424200400
726110206345
oct6040002520
92081101470
10813696336
11388346112
121a8609100
13cc76a02b
147a0d27cc
154b680326
hex30800550

813696336 has 120 divisors (see below), whose sum is σ = 2349135360. Its totient is φ = 262787328.

The previous prime is 813696329. The next prime is 813696343. The reversal of 813696336 is 633696318.

813696336 is a `hidden beast` number, since 8 + 1 + 3 + 6 + 9 + 633 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (813696329) and next prime (813696343).

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

It is a junction number, because it is equal to n+sod(n) for n = 813696291 and 813696300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 737161 + ... + 738263.

It is an arithmetic number, because the mean of its divisors is an integer number (19576128).

Almost surely, 2813696336 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 813696336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174567680).

813696336 is an abundant number, since it is smaller than the sum of its proper divisors (1535439024).

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

813696336 is a wasteful number, since it uses less digits than its factorization.

813696336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1264 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 813696336 is about 28525.3630301176. The cubic root of 813696336 is about 933.5855479377.

The spelling of 813696336 in words is "eight hundred thirteen million, six hundred ninety-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 109 141 144 188 218 282 327 376 423 436 564 654 752 846 872 981 1103 1128 1308 1692 1744 1962 2206 2256 2616 3309 3384 3924 4412 5123 5232 6618 6768 7848 8824 9927 10246 13236 15369 15696 17648 19854 20492 26472 30738 39708 40984 46107 51841 52944 61476 79416 81968 92214 103682 120227 122952 155523 158832 184428 207364 240454 245904 311046 360681 368856 414728 466569 480908 622092 721362 737712 829456 933138 961816 1082043 1244184 1442724 1866276 1923632 2164086 2488368 2885448 3732552 4328172 5650669 5770896 7465104 8656344 11301338 16952007 17312688 22602676 33904014 45205352 50856021 67808028 90410704 101712042 135616056 203424084 271232112 406848168 813696336