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315231312 = 243113119259
BaseRepresentation
bin10010110010100…
…000110001010000
3210222011102001210
4102302200301100
51121144400222
651140300120
710545264504
oct2262406120
9728142053
10315231312
11151a37a50
12896a1640
1350401806
142dc1a304
151ca1bd0c
hex12ca0c50

315231312 has 80 divisors (see below), whose sum is σ = 917084160. Its totient is φ = 92438400.

The previous prime is 315231311. The next prime is 315231331. The reversal of 315231312 is 213132513.

315231312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315231311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6739 + ... + 25997.

It is an arithmetic number, because the mean of its divisors is an integer number (11463552).

Almost surely, 2315231312 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 315231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458542080).

315231312 is an abundant number, since it is smaller than the sum of its proper divisors (601852848).

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

315231312 is a wasteful number, since it uses less digits than its factorization.

315231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19312 (or 19306 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 315231312 is about 17754.7546308024. The cubic root of 315231312 is about 680.5757177403.

Adding to 315231312 its reverse (213132513), we get a palindrome (528363825).

The spelling of 315231312 in words is "three hundred fifteen million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 4092 5456 8184 16368 19259 38518 57777 77036 115554 154072 211849 231108 308144 423698 462216 597029 635547 847396 924432 1194058 1271094 1694792 1791087 2388116 2542188 3389584 3582174 4776232 5084376 6567319 7164348 9552464 10168752 13134638 14328696 19701957 26269276 28657392 39403914 52538552 78807828 105077104 157615656 315231312