Search a number
-
+
818136342 = 233291094793
BaseRepresentation
bin110000110000111…
…100010100010110
32010000110122002000
4300300330110112
53133420330332
6213103300130
726163021102
oct6060742426
92100418060
10818136342
1138a8a8a41
121a9baa646
13100662c5a
147a92a902
154bc5ab7c
hex30c3c516

818136342 has 64 divisors (see below), whose sum is σ = 1898424000. Its totient is φ = 260838144.

The previous prime is 818136329. The next prime is 818136343. The reversal of 818136342 is 243631818.

818136342 is a `hidden beast` number, since 8 + 1 + 8 + 13 + 634 + 2 = 666.

It is a super-2 number, since 2×8181363422 = 1338694148202281928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 818136297 and 818136306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818136343) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 168298 + ... + 173090.

It is an arithmetic number, because the mean of its divisors is an integer number (29662875).

Almost surely, 2818136342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818136342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949212000).

818136342 is an abundant number, since it is smaller than the sum of its proper divisors (1080287658).

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

818136342 is a wasteful number, since it uses less digits than its factorization.

818136342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942 (or 4936 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 818136342 is about 28603.0827359570. The cubic root of 818136342 is about 935.2805327493.

The spelling of 818136342 in words is "eight hundred eighteen million, one hundred thirty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 109 174 218 261 327 522 654 783 981 1566 1962 2943 3161 4793 5886 6322 9483 9586 14379 18966 28449 28758 43137 56898 85347 86274 129411 138997 170694 258822 277994 416991 522437 833982 1044874 1250973 1567311 2501946 3134622 3752919 4701933 7505838 9403866 14105799 15150673 28211598 30301346 45452019 90904038 136356057 272712114 409068171 818136342