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313345980 = 223251740811
BaseRepresentation
bin10010101011010…
…100011110111100
3210211121121212200
4102223110132330
51120204032410
651032031500
710523253063
oct2253243674
9724547780
10313345980
1115096a522
1288b32590
134cbc162c
142d8891da
151c7983c0
hex12ad47bc

313345980 has 36 divisors (see below), whose sum is σ = 950483352. Its totient is φ = 83558880.

The previous prime is 313345979. The next prime is 313346041. The reversal of 313345980 is 89543313.

313345980 is a `hidden beast` number, since 31 + 3 + 34 + 598 + 0 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 870226 + ... + 870585.

Almost surely, 2313345980 is an apocalyptic number.

313345980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313345980 is an abundant number, since it is smaller than the sum of its proper divisors (637137372).

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

313345980 is a wasteful number, since it uses less digits than its factorization.

313345980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740826 (or 1740821 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 313345980 is about 17701.5812852976. The cubic root of 313345980 is about 679.2162105368.

The spelling of 313345980 in words is "three hundred thirteen million, three hundred forty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1740811 3481622 5222433 6963244 8704055 10444866 15667299 17408110 20889732 26112165 31334598 34816220 52224330 62669196 78336495 104448660 156672990 313345980