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313828452 = 22337571727
BaseRepresentation
bin10010101101001…
…010010001100100
3210212112010201000
4102231022101210
51120320002302
651050233300
710530332520
oct2255122144
9725463630
10313828452
11151169a63
1289125830
1350030112
142d972d80
151c84131c
hex12b4a464

313828452 has 96 divisors (see below), whose sum is σ = 932771840. Its totient is φ = 89385120.

The previous prime is 313828439. The next prime is 313828457. The reversal of 313828452 is 254828313.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (313828457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431313 + ... + 432039.

Almost surely, 2313828452 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 313828452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466385920).

313828452 is an abundant number, since it is smaller than the sum of its proper divisors (618943388).

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

313828452 is a wasteful number, since it uses less digits than its factorization.

313828452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1310 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 313828452 is about 17715.2039785039. The cubic root of 313828452 is about 679.5646377020.

The spelling of 313828452 in words is "three hundred thirteen million, eight hundred twenty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 571 727 756 1142 1454 1713 2181 2284 2908 3426 3997 4362 5089 5139 6543 6852 7994 8724 10178 10278 11991 13086 15267 15417 15988 19629 20356 20556 23982 26172 30534 30834 35973 39258 45801 47964 61068 61668 71946 78516 91602 107919 137403 143892 183204 215838 274806 415117 431676 549612 830234 1245351 1660468 2490702 2905819 3736053 4981404 5811638 7472106 8717457 11208159 11623276 14944212 17434914 22416318 26152371 34869828 44832636 52304742 78457113 104609484 156914226 313828452