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315434424 = 233312931447
BaseRepresentation
bin10010110011010…
…010010110111000
3210222112201200110
4102303102112320
51121222400144
651144504320
710550101614
oct2263222670
9728481613
10315434424
11152066608
128977b0a0
13504730b6
142dc70344
151ca5c0b9
hex12cd25b8

315434424 has 64 divisors (see below), whose sum is σ = 817367040. Its totient is φ = 101335680.

The previous prime is 315434419. The next prime is 315434467. The reversal of 315434424 is 424434513.

It is a junction number, because it is equal to n+sod(n) for n = 315434391 and 315434400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217269 + ... + 218715.

It is an arithmetic number, because the mean of its divisors is an integer number (12771360).

Almost surely, 2315434424 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 315434424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408683520).

315434424 is an abundant number, since it is smaller than the sum of its proper divisors (501932616).

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

315434424 is a wasteful number, since it uses less digits than its factorization.

315434424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1776 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 315434424 is about 17760.4736423329. The cubic root of 315434424 is about 680.7218574282.

Adding to 315434424 its reverse (424434513), we get a palindrome (739868937).

The spelling of 315434424 in words is "three hundred fifteen million, four hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 293 372 586 744 879 1172 1447 1758 2344 2894 3516 4341 5788 7032 8682 9083 11576 17364 18166 27249 34728 36332 44857 54498 72664 89714 108996 134571 179428 217992 269142 358856 423971 538284 847942 1076568 1271913 1695884 2543826 3391768 5087652 10175304 13143101 26286202 39429303 52572404 78858606 105144808 157717212 315434424