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313340608 = 267719851
BaseRepresentation
bin10010101011010…
…011001011000000
3210211121100111201
4102223103023000
51120203344413
651031550544
710523231320
oct2253231300
9724540451
10313340608
11150966489
1288b2b454
134cbbc059
142d887280
151c7969dd
hex12ad32c0

313340608 has 56 divisors (see below), whose sum is σ = 720693504. Its totient is φ = 132384000.

The previous prime is 313340561. The next prime is 313340633. The reversal of 313340608 is 806043313.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 26883 + ... + 36733.

Almost surely, 2313340608 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 313340608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360346752).

313340608 is an abundant number, since it is smaller than the sum of its proper divisors (407352896).

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

313340608 is an equidigital number, since it uses as much as digits as its factorization.

313340608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9941 (or 9931 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 313340608 is about 17701.4295467908. The cubic root of 313340608 is about 679.2123290229.

The spelling of 313340608 in words is "three hundred thirteen million, three hundred forty thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 284 448 497 568 994 1136 1988 2272 3976 4544 7952 9851 15904 19702 31808 39404 68957 78808 137914 157616 275828 315232 551656 630464 699421 1103312 1398842 2206624 2797684 4413248 4895947 5595368 9791894 11190736 19583788 22381472 39167576 44762944 78335152 156670304 313340608