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818306742 = 231123701769
BaseRepresentation
bin110000110001100…
…101111010110110
32010000210021211010
4300301211322312
53133441303432
6213111053050
726164330641
oct6061457266
92100707733
10818306742
1138aa04a70
121aa071186
131006c2696
147a972a58
154bc913cc
hex30c65eb6

818306742 has 64 divisors (see below), whose sum is σ = 1868106240. Its totient is φ = 236544000.

The previous prime is 818306701. The next prime is 818306743. The reversal of 818306742 is 247603818.

It is a self number, because there is not a number n which added to its sum of digits gives 818306742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818306743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1063734 + ... + 1064502.

It is an arithmetic number, because the mean of its divisors is an integer number (29189160).

Almost surely, 2818306742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818306742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934053120).

818306742 is an abundant number, since it is smaller than the sum of its proper divisors (1049799498).

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

818306742 is a wasteful number, since it uses less digits than its factorization.

818306742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509.

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 818306742 is about 28606.0612807845. The cubic root of 818306742 is about 935.3454611039.

The spelling of 818306742 in words is "eight hundred eighteen million, three hundred six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 701 759 769 1402 1518 1538 2103 2307 4206 4614 7711 8459 15422 16123 16918 17687 23133 25377 32246 35374 46266 48369 50754 53061 96738 106122 177353 194557 354706 389114 532059 539069 583671 1064118 1078138 1167342 1617207 3234414 5929759 11859518 12398587 17789277 24797174 35578554 37195761 74391522 136384457 272768914 409153371 818306742