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818234136 = 233410711801
BaseRepresentation
bin110000110001010…
…100001100011000
32010000122121020000
4300301110030120
53133431443021
6213105333000
726163606156
oct6061241430
92100577200
10818234136
1138a965465
121aa037160
13100698615
147a9543d6
154bc79b26
hex30c54318

818234136 has 80 divisors (see below), whose sum is σ = 2313428040. Its totient is φ = 270172800.

The previous prime is 818234113. The next prime is 818234141. The reversal of 818234136 is 631432818.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 818234136.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 63436 + ... + 75236.

Almost surely, 2818234136 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 818234136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156714020).

818234136 is an abundant number, since it is smaller than the sum of its proper divisors (1495193904).

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

818234136 is a wasteful number, since it uses less digits than its factorization.

818234136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11926 (or 11913 counting only the distinct ones).

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

The square root of 818234136 is about 28604.7921859258. The cubic root of 818234136 is about 935.3177967829.

The spelling of 818234136 in words is "eight hundred eighteen million, two hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 107 108 162 214 216 321 324 428 642 648 856 963 1284 1926 2568 2889 3852 5778 7704 8667 11556 11801 17334 23112 23602 34668 35403 47204 69336 70806 94408 106209 141612 212418 283224 318627 424836 637254 849672 955881 1262707 1274508 1911762 2525414 2549016 3788121 3823524 5050828 7576242 7647048 10101656 11364363 15152484 22728726 30304968 34093089 45457452 68186178 90914904 102279267 136372356 204558534 272744712 409117068 818234136