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818864340 = 223573136229
BaseRepresentation
bin110000110011101…
…110000011010100
32010001211121200220
4300303232003110
53134112124330
6213131034340
726202142410
oct6063560324
92101747626
10818864340
11390255998
121aa29b9b0
13100859418
147aa79d40
154bd51710
hex30cee0d4

818864340 has 96 divisors (see below), whose sum is σ = 2629159680. Its totient is φ = 186541056.

The previous prime is 818864339. The next prime is 818864359. The reversal of 818864340 is 43468818.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 818864292 and 818864301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128346 + ... + 134574.

It is an arithmetic number, because the mean of its divisors is an integer number (27387080).

Almost surely, 2818864340 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 818864340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314579840).

818864340 is an abundant number, since it is smaller than the sum of its proper divisors (1810295340).

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

818864340 is a wasteful number, since it uses less digits than its factorization.

818864340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6561 (or 6559 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 818864340 is about 28615.8057723350. The cubic root of 818864340 is about 935.5578624423.

The spelling of 818864340 in words is "eight hundred eighteen million, eight hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 313 420 626 939 1252 1565 1878 2191 3130 3756 4382 4695 6229 6260 6573 8764 9390 10955 12458 13146 18687 18780 21910 24916 26292 31145 32865 37374 43603 43820 62290 65730 74748 87206 93435 124580 130809 131460 174412 186870 218015 261618 373740 436030 523236 654045 872060 1308090 1949677 2616180 3899354 5849031 7798708 9748385 11698062 13647739 19496770 23396124 27295478 29245155 38993540 40943217 54590956 58490310 68238695 81886434 116980620 136477390 163772868 204716085 272954780 409432170 818864340