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814330032 = 24322077687
BaseRepresentation
bin110000100010011…
…011000010110000
32002202022020210120
4300202123002300
53131432030112
6212445530240
726115456015
oct6042330260
92082266716
10814330032
1138873922a
121a8873980
13cc92c5b9
147a21970c
154b757e8c
hex3089b0b0

814330032 has 40 divisors (see below), whose sum is σ = 2104912896. Its totient is φ = 271285056.

The previous prime is 814330021. The next prime is 814330067. The reversal of 814330032 is 230033418.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 814329984 and 814330011.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 102093 + ... + 109779.

Almost surely, 2814330032 is an apocalyptic number.

It is an amenable number.

814330032 is an abundant number, since it is smaller than the sum of its proper divisors (1290582864).

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

814330032 is a wasteful number, since it uses less digits than its factorization.

814330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9905 (or 9899 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 814330032 is about 28536.4684570463. The cubic root of 814330032 is about 933.8278397643.

The spelling of 814330032 in words is "eight hundred fourteen million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 2207 4414 6621 7687 8828 13242 15374 17656 23061 26484 30748 35312 46122 52968 61496 92244 105936 122992 184488 368976 16965209 33930418 50895627 67860836 101791254 135721672 203582508 271443344 407165016 814330032