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315393390 = 232513436269
BaseRepresentation
bin10010110011001…
…000010101101110
3210222110122101200
4102303020111232
51121220042030
651143550330
710546541154
oct2263102556
9728418350
10315393390
111520387a4
128975b3a6
135045a510
142dc5d3d4
151ca4ed60
hex12cc856e

315393390 has 96 divisors (see below), whose sum is σ = 903782880. Its totient is φ = 75817728.

The previous prime is 315393311. The next prime is 315393437. The reversal of 315393390 is 93393513.

315393390 is a `hidden beast` number, since 3 + 1 + 539 + 33 + 90 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47176 + ... + 53444.

It is an arithmetic number, because the mean of its divisors is an integer number (9414405).

Almost surely, 2315393390 is an apocalyptic number.

315393390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315393390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451891440).

315393390 is an abundant number, since it is smaller than the sum of its proper divisors (588389490).

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

315393390 is a wasteful number, since it uses less digits than its factorization.

315393390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6338 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 32805, while the sum is 36.

The square root of 315393390 is about 17759.3183990828. The cubic root of 315393390 is about 680.6923384010.

The spelling of 315393390 in words is "three hundred fifteen million, three hundred ninety-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 43 45 65 78 86 90 117 129 130 195 215 234 258 387 390 430 559 585 645 774 1118 1170 1290 1677 1935 2795 3354 3870 5031 5590 6269 8385 10062 12538 16770 18807 25155 31345 37614 50310 56421 62690 81497 94035 112842 162994 188070 244491 269567 282105 407485 488982 539134 564210 733473 808701 814970 1222455 1347835 1466946 1617402 2426103 2444910 2695670 3504371 3667365 4043505 4852206 7008742 7334730 8087010 10513113 12130515 17521855 21026226 24261030 31539339 35043710 52565565 63078678 105131130 157696695 315393390