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313036096 = 2617192797
BaseRepresentation
bin10010101010001…
…000110101000000
3210211000212210111
4102222020311000
51120114123341
651021241104
710520522452
oct2252106500
9724025714
10313036096
1115077871a
1288a03194
134cb13579
142d8082d2
151c736681
hex12a88d40

313036096 has 84 divisors (see below), whose sum is σ = 695030868. Its totient is φ = 139382784.

The previous prime is 313036091. The next prime is 313036099. The reversal of 313036096 is 690630313.

It can be written as a sum of positive squares in 2 ways, for example, as 199826496 + 113209600 = 14136^2 + 10640^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313036091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392370 + ... + 393166.

It is an arithmetic number, because the mean of its divisors is an integer number (8274177).

Almost surely, 2313036096 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 313036096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347515434).

313036096 is an abundant number, since it is smaller than the sum of its proper divisors (381994772).

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

313036096 is a wasteful number, since it uses less digits than its factorization.

313036096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 31.

The square root of 313036096 is about 17692.8261168192. The cubic root of 313036096 is about 678.9922327061.

The spelling of 313036096 in words is "three hundred thirteen million, thirty-six thousand, ninety-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 272 304 323 361 544 608 646 722 797 1088 1216 1292 1444 1594 2584 2888 3188 5168 5776 6137 6376 10336 11552 12274 12752 13549 15143 20672 23104 24548 25504 27098 30286 49096 51008 54196 60572 98192 108392 121144 196384 216784 242288 257431 287717 392768 433568 484576 514862 575434 867136 969152 1029724 1150868 2059448 2301736 4118896 4603472 4891189 8237792 9206944 9782378 16475584 18413888 19564756 39129512 78259024 156518048 313036096