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313343472 = 243131972549
BaseRepresentation
bin10010101011010…
…011110111110000
3210211121111102210
4102223103313300
51120203442342
651032012120
710523242551
oct2253236760
9724544383
10313343472
11150968652
1288b31040
134cbc0450
142d888328
151c79779c
hex12ad3df0

313343472 has 80 divisors (see below), whose sum is σ = 876506400. Its totient is φ = 95886336.

The previous prime is 313343461. The next prime is 313343483. The reversal of 313343472 is 274343313.

It is an interprime number because it is at equal distance from previous prime (313343461) and next prime (313343483).

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, 121654 + ... + 124202.

It is an arithmetic number, because the mean of its divisors is an integer number (10956330).

Almost surely, 2313343472 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 313343472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438253200).

313343472 is an abundant number, since it is smaller than the sum of its proper divisors (563162928).

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

313343472 is a wasteful number, since it uses less digits than its factorization.

313343472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2764 counting only the distinct ones).

The product of its digits is 18144, while the sum is 30.

The square root of 313343472 is about 17701.5104440271. The cubic root of 313343472 is about 679.2143983984.

Adding to 313343472 its reverse (274343313), we get a palindrome (587686785).

The spelling of 313343472 in words is "three hundred thirteen million, three hundred forty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 197 208 312 394 591 624 788 1182 1576 2364 2549 2561 3152 4728 5098 5122 7647 7683 9456 10196 10244 15294 15366 20392 20488 30588 30732 33137 40784 40976 61176 61464 66274 99411 122352 122928 132548 198822 265096 397644 502153 530192 795288 1004306 1506459 1590576 2008612 3012918 4017224 6025836 6527989 8034448 12051672 13055978 19583967 24103344 26111956 39167934 52223912 78335868 104447824 156671736 313343472