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313070720 = 275736701
BaseRepresentation
bin10010101010010…
…001010010000000
3210211002122021212
4102222101102000
51120121230340
651022105252
710521025424
oct2252212200
9724078255
10313070720
111507a1736
1288a1b228
134cb26261
142d816b84
151c741a65
hex12a91480

313070720 has 64 divisors (see below), whose sum is σ = 758800440. Its totient is φ = 123494400.

The previous prime is 313070671. The next prime is 313070753. The reversal of 313070720 is 27070313.

It can be written as a sum of positive squares in 4 ways, for example, as 246615616 + 66455104 = 15704^2 + 8152^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43370 + ... + 50070.

Almost surely, 2313070720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379400220).

313070720 is an abundant number, since it is smaller than the sum of its proper divisors (445729720).

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

313070720 is an equidigital number, since it uses as much as digits as its factorization.

313070720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6793 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 23.

The square root of 313070720 is about 17693.8045654404. The cubic root of 313070720 is about 679.0172655597.

The spelling of 313070720 in words is "three hundred thirteen million, seventy thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 292 320 365 584 640 730 1168 1460 2336 2920 4672 5840 6701 9344 11680 13402 23360 26804 33505 46720 53608 67010 107216 134020 214432 268040 428864 489173 536080 857728 978346 1072160 1956692 2144320 2445865 3913384 4288640 4891730 7826768 9783460 15653536 19566920 31307072 39133840 62614144 78267680 156535360 313070720