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323802990 = 232571972609
BaseRepresentation
bin10011010011001…
…101011101101110
3211120021220012100
4103103031131232
51130343143430
652044115530
711011165020
oct2323153556
9746256170
10323802990
11156861a85
1290535ba6
1352113204
143100c010
151d661960
hex134cd76e

323802990 has 96 divisors (see below), whose sum is σ = 967412160. Its totient is φ = 73608192.

The previous prime is 323802989. The next prime is 323803001. The reversal of 323802990 is 99208323.

323802990 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122806 + ... + 125414.

It is an arithmetic number, because the mean of its divisors is an integer number (10077210).

Almost surely, 2323802990 is an apocalyptic number.

323802990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 323802990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483706080).

323802990 is an abundant number, since it is smaller than the sum of its proper divisors (643609170).

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

323802990 is a wasteful number, since it uses less digits than its factorization.

323802990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 323802990 is about 17994.5266678510. The cubic root of 323802990 is about 686.6893073357.

The spelling of 323802990 in words is "three hundred twenty-three million, eight hundred two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 197 210 315 394 591 630 985 1182 1379 1773 1970 2609 2758 2955 3546 4137 5218 5910 6895 7827 8274 8865 12411 13045 13790 15654 17730 18263 20685 23481 24822 26090 36526 39135 41370 46962 54789 62055 78270 91315 109578 117405 124110 164367 182630 234810 273945 328734 513973 547890 821835 1027946 1541919 1643670 2569865 3083838 3597811 4625757 5139730 7195622 7709595 9251514 10793433 15419190 17989055 21586866 23128785 32380299 35978110 46257570 53967165 64760598 107934330 161901495 323802990