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313164330 = 23529596101
BaseRepresentation
bin10010101010101…
…000001000101010
3210211021101200220
4102222220020222
51120132224310
651024110510
710521565353
oct2252501052
9724241626
10313164330
11150855aa6
1288a65436
134cb59a4b
142d83cd2a
151c75e670
hex12aa822a

313164330 has 64 divisors (see below), whose sum is σ = 790819200. Its totient is φ = 79251200.

The previous prime is 313164307. The next prime is 313164373. The reversal of 313164330 is 33461313.

313164330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 313164330.

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 31 ways as a sum of consecutive naturals, for example, 48280 + ... + 54380.

It is an arithmetic number, because the mean of its divisors is an integer number (12356550).

Almost surely, 2313164330 is an apocalyptic number.

313164330 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 313164330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395409600).

313164330 is an abundant number, since it is smaller than the sum of its proper divisors (477654870).

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

313164330 is a wasteful number, since it uses less digits than its factorization.

313164330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6199.

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 313164330 is about 17696.4496439258. The cubic root of 313164330 is about 679.0849355440.

The spelling of 313164330 in words is "three hundred thirteen million, one hundred sixty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 59 87 118 145 174 177 290 295 354 435 590 870 885 1711 1770 3422 5133 6101 8555 10266 12202 17110 18303 25665 30505 36606 51330 61010 91515 176929 183030 353858 359959 530787 719918 884645 1061574 1079877 1769290 1799795 2159754 2653935 3599590 5307870 5399385 10438811 10798770 20877622 31316433 52194055 62632866 104388110 156582165 313164330