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315324 = 223219461
BaseRepresentation
bin1001100111110111100
3121000112200
41030332330
540042244
610431500
72452212
oct1147674
9530480
10315324
111a59a9
12132590
13b06a9
1482cb2
1563669
hex4cfbc

315324 has 36 divisors (see below), whose sum is σ = 840840. Its totient is φ = 99360.

The previous prime is 315313. The next prime is 315349. The reversal of 315324 is 423513.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 315297 and 315306.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315324.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 454 + ... + 914.

2315324 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 315324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420420).

315324 is an abundant number, since it is smaller than the sum of its proper divisors (525516).

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

315324 is a wasteful number, since it uses less digits than its factorization.

315324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 485 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 315324 is about 561.5371759732. The cubic root of 315324 is about 68.0642414816.

Adding to 315324 its reverse (423513), we get a palindrome (738837).

The spelling of 315324 in words is "three hundred fifteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 461 684 922 1383 1844 2766 4149 5532 8298 8759 16596 17518 26277 35036 52554 78831 105108 157662 315324