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816930352 = 24723133613
BaseRepresentation
bin110000101100010…
…101111000110000
32002221012100202201
4300230111320300
53133113232402
6213021352544
726146536100
oct6054257060
92087170681
10816930352
1138a154957
121a9708754
13100330054
147a6d5200
154babd687
hex30b15e30

816930352 has 60 divisors (see below), whose sum is σ = 1900670016. Its totient is φ = 338808960.

The previous prime is 816930311. The next prime is 816930379. The reversal of 816930352 is 253039618.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7498 + ... + 41110.

Almost surely, 2816930352 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 816930352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950335008).

816930352 is an abundant number, since it is smaller than the sum of its proper divisors (1083739664).

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

816930352 is a wasteful number, since it uses less digits than its factorization.

816930352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33666 (or 33653 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 816930352 is about 28581.9934924071. The cubic root of 816930352 is about 934.8207505238.

The spelling of 816930352 in words is "eight hundred sixteen million, nine hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 784 868 1519 1736 3038 3472 6076 12152 24304 33613 67226 134452 235291 268904 470582 537808 941164 1042003 1647037 1882328 2084006 3294074 3764656 4168012 6588148 7294021 8336024 13176296 14588042 16672048 26352592 29176084 51058147 58352168 102116294 116704336 204232588 408465176 816930352