Search a number
-
+
315323268 = 223132518053
BaseRepresentation
bin10010110010110…
…111001110000100
3210222100002012120
4102302313032010
51121210321033
651142245540
710546126551
oct2262671604
9728302176
10315323268
11151aa0047
12897268b0
1350434620
142dc41a28
151ca391b3
hex12cb7384

315323268 has 48 divisors (see below), whose sum is σ = 795606336. Its totient is φ = 96624000.

The previous prime is 315323263. The next prime is 315323269. The reversal of 315323268 is 862323513.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (315323263) 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, 35130 + ... + 43182.

It is an arithmetic number, because the mean of its divisors is an integer number (16575132).

Almost surely, 2315323268 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 315323268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397803168).

315323268 is an abundant number, since it is smaller than the sum of its proper divisors (480283068).

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

315323268 is a wasteful number, since it uses less digits than its factorization.

315323268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8324 (or 8322 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 315323268 is about 17757.3440581637. The cubic root of 315323268 is about 680.6418881300.

The spelling of 315323268 in words is "three hundred fifteen million, three hundred twenty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 251 502 753 1004 1506 3012 3263 6526 8053 9789 13052 16106 19578 24159 32212 39156 48318 96636 104689 209378 314067 418756 628134 1256268 2021303 4042606 6063909 8085212 12127818 24255636 26276939 52553878 78830817 105107756 157661634 315323268