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315323320 = 23513312631
BaseRepresentation
bin10010110010110…
…111001110111000
3210222100002021111
4102302313032320
51121210321240
651142250104
710546126654
oct2262671670
9728302244
10315323320
11151aa0094
1289726934
1350434660
142dc41a64
151ca391ea
hex12cb73b8

315323320 has 96 divisors (see below), whose sum is σ = 790745760. Its totient is φ = 112492800.

The previous prime is 315323311. The next prime is 315323321. The reversal of 315323320 is 23323513.

It is a happy number.

315323320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3153233202 = 198857592271644800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315323291 and 315323300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315323321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499405 + ... + 500035.

It is an arithmetic number, because the mean of its divisors is an integer number (8236935).

Almost surely, 2315323320 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 315323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395372880).

315323320 is an abundant number, since it is smaller than the sum of its proper divisors (475422440).

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

315323320 is a wasteful number, since it uses less digits than its factorization.

315323320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 315323320 is about 17757.3455223465. The cubic root of 315323320 is about 680.6419255449.

Adding to 315323320 its reverse (23323513), we get a palindrome (338646833).

The spelling of 315323320 in words is "three hundred fifteen million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 631 806 961 1240 1262 1612 1922 2015 2524 3155 3224 3844 4030 4805 5048 6310 7688 8060 8203 9610 12493 12620 16120 16406 19220 19561 24986 25240 32812 38440 39122 41015 49972 62465 65624 78244 82030 97805 99944 124930 156488 164060 195610 249860 254293 328120 391220 499720 508586 606391 782440 1017172 1212782 1271465 2034344 2425564 2542930 3031955 4851128 5085860 6063910 7883083 10171720 12127820 15766166 24255640 31532332 39415415 63064664 78830830 157661660 315323320