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820334868 = 223672693793
BaseRepresentation
bin110000111001010…
…101000100010100
32010011121022212220
4300321111010110
53140001203433
6213222342340
726220505563
oct6071250424
92104538786
10820334868
1139106a801
121aa88a9b0
13100c52862
147ad3dbda
154c0422b3
hex30e55114

820334868 has 48 divisors (see below), whose sum is σ = 1950419520. Its totient is φ = 268291584.

The previous prime is 820334863. The next prime is 820334869. The reversal of 820334868 is 868433028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820334863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214380 + ... + 218172.

It is an arithmetic number, because the mean of its divisors is an integer number (40633740).

Almost surely, 2820334868 is an apocalyptic number.

It is an amenable number.

820334868 is an abundant number, since it is smaller than the sum of its proper divisors (1130084652).

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

820334868 is a wasteful number, since it uses less digits than its factorization.

820334868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 820334868 is about 28641.4885786336. The cubic root of 820334868 is about 936.1175568252.

It can be divided in two parts, 8203 and 34868, that added together give a triangular number (43071 = T293).

The spelling of 820334868 in words is "eight hundred twenty million, three hundred thirty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 67 134 201 268 269 402 538 804 807 1076 1614 3228 3793 7586 11379 15172 18023 22758 36046 45516 54069 72092 108138 216276 254131 508262 762393 1016524 1020317 1524786 2040634 3049572 3060951 4081268 6121902 12243804 68361239 136722478 205083717 273444956 410167434 820334868