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315231330 = 23523795783
BaseRepresentation
bin10010110010100…
…000110001100010
3210222011102002110
4102302200301202
51121144400310
651140300150
710545264531
oct2262406142
9728142073
10315231330
11151a37a67
12896a1656
135040181b
142dc1a318
151ca1bd20
hex12ca0c62

315231330 has 64 divisors (see below), whose sum is σ = 799580160. Its totient is φ = 79375296.

The previous prime is 315231311. The next prime is 315231331. The reversal of 315231330 is 33132513.

315231330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 315231297 and 315231306.

It is not an unprimeable number, because it can be changed into a prime (315231331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51619 + ... + 57401.

It is an arithmetic number, because the mean of its divisors is an integer number (12493440).

Almost surely, 2315231330 is an apocalyptic number.

315231330 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 315231330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399790080).

315231330 is an abundant number, since it is smaller than the sum of its proper divisors (484348830).

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

315231330 is a wasteful number, since it uses less digits than its factorization.

315231330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895.

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 315231330 is about 17754.7551377089. The cubic root of 315231330 is about 680.5757306941.

Adding to 315231330 its reverse (33132513), we get a palindrome (348363843).

The spelling of 315231330 in words is "three hundred fifteen million, two hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 79 115 138 158 230 237 345 395 474 690 790 1185 1817 2370 3634 5451 5783 9085 10902 11566 17349 18170 27255 28915 34698 54510 57830 86745 133009 173490 266018 399027 456857 665045 798054 913714 1330090 1370571 1995135 2284285 2741142 3990270 4568570 6852855 10507711 13705710 21015422 31523133 52538555 63046266 105077110 157615665 315231330