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315240426 = 232317173109
BaseRepresentation
bin10010110010100…
…010111111101010
3210222011212120100
4102302202333222
51121200143201
651140410230
710545333204
oct2262427752
9728155510
10315240426
11151a43886
12896a6976
13504059c7
142dc1d774
151ca1e886
hex12ca2fea

315240426 has 96 divisors (see below), whose sum is σ = 731427840. Its totient is φ = 97977600.

The previous prime is 315240383. The next prime is 315240437. The reversal of 315240426 is 624042513.

It is a super-2 number, since 2×3152404262 = 198753052369322952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 315240426.

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, 2892060 + ... + 2892168.

It is an arithmetic number, because the mean of its divisors is an integer number (7619040).

Almost surely, 2315240426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315240426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365713920).

315240426 is an abundant number, since it is smaller than the sum of its proper divisors (416187414).

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

315240426 is a wasteful number, since it uses less digits than its factorization.

315240426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 315240426 is about 17755.0112925900. The cubic root of 315240426 is about 680.5822766354.

Adding to 315240426 its reverse (624042513), we get a palindrome (939282939).

The spelling of 315240426 in words is "three hundred fifteen million, two hundred forty thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 31 62 71 73 93 109 142 146 186 213 218 219 279 327 426 438 558 639 654 657 981 1278 1314 1962 2201 2263 3379 4402 4526 5183 6603 6758 6789 7739 7957 10137 10366 13206 13578 15478 15549 15914 19809 20274 20367 23217 23871 30411 31098 39618 40734 46434 46647 47742 60822 69651 71613 93294 139302 143226 160673 239909 246667 321346 479818 482019 493334 564947 719727 740001 964038 1129894 1439454 1446057 1480002 1694841 2159181 2220003 2892114 3389682 4318362 4440006 5084523 10169046 17513357 35026714 52540071 105080142 157620213 315240426