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313244520 = 233522911399
BaseRepresentation
bin10010101010111…
…011101101101000
3210211102110200220
4102222323231220
51120142311040
651025530040
710522351221
oct2252735550
9724373626
10313244520
11150900276
1288aa3920
134cb873b4
142d860248
151c7782d0
hex12abbb68

313244520 has 64 divisors (see below), whose sum is σ = 943920000. Its totient is φ = 83159808.

The previous prime is 313244483. The next prime is 313244537. The reversal of 313244520 is 25442313.

313244520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 21781 + ... + 33179.

It is an arithmetic number, because the mean of its divisors is an integer number (14748750).

Almost surely, 2313244520 is an apocalyptic number.

313244520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313244520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471960000).

313244520 is an abundant number, since it is smaller than the sum of its proper divisors (630675480).

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

313244520 is a wasteful number, since it uses less digits than its factorization.

313244520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11642 (or 11638 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 313244520 is about 17698.7152076076. The cubic root of 313244520 is about 679.1428935853.

Adding to 313244520 its reverse (25442313), we get a palindrome (338686833).

The spelling of 313244520 in words is "three hundred thirteen million, two hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 229 458 687 916 1145 1374 1832 2290 2748 3435 4580 5496 6870 9160 11399 13740 22798 27480 34197 45596 56995 68394 91192 113990 136788 170985 227980 273576 341970 455960 683940 1367880 2610371 5220742 7831113 10441484 13051855 15662226 20882968 26103710 31324452 39155565 52207420 62648904 78311130 104414840 156622260 313244520