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318329820 = 223251768499
BaseRepresentation
bin10010111110010…
…101001111011100
3211011222211102100
4102332111033130
51122443023240
651330525100
710613521164
oct2276251734
9734884370
10318329820
111537639a6
128a736790
1350c47c53
14303c55a4
151ce2ee30
hex12f953dc

318329820 has 36 divisors (see below), whose sum is σ = 965601000. Its totient is φ = 84887904.

The previous prime is 318329807. The next prime is 318329827. The reversal of 318329820 is 28923813.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318329827) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 884070 + ... + 884429.

It is an arithmetic number, because the mean of its divisors is an integer number (26822250).

Almost surely, 2318329820 is an apocalyptic number.

318329820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

318329820 is an abundant number, since it is smaller than the sum of its proper divisors (647271180).

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

318329820 is a wasteful number, since it uses less digits than its factorization.

318329820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768514 (or 1768509 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 318329820 is about 17841.7997971057. The cubic root of 318329820 is about 682.7983158317.

The spelling of 318329820 in words is "three hundred eighteen million, three hundred twenty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1768499 3536998 5305497 7073996 8842495 10610994 15916491 17684990 21221988 26527485 31832982 35369980 53054970 63665964 79582455 106109940 159164910 318329820