Search a number
-
+
313490632 = 237213227271
BaseRepresentation
bin10010101011110…
…111110011001000
3210211212222022011
4102223313303020
51120223200012
651035105304
710524424600
oct2253676310
9724788264
10313490632
11150a59174
1288ba2234
134cc42420
142d8c5c00
151c7c61a7
hex12af7cc8

313490632 has 96 divisors (see below), whose sum is σ = 742331520. Its totient is φ = 123016320.

The previous prime is 313490629. The next prime is 313490641. The reversal of 313490632 is 236094313.

It is a junction number, because it is equal to n+sod(n) for n = 313490594 and 313490603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1156657 + ... + 1156927.

It is an arithmetic number, because the mean of its divisors is an integer number (7732620).

Almost surely, 2313490632 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 313490632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371165760).

313490632 is an abundant number, since it is smaller than the sum of its proper divisors (428840888).

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

313490632 is a wasteful number, since it uses less digits than its factorization.

313490632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 313490632 is about 17705.6666635289. Note that the first 5 decimals coincide. The cubic root of 313490632 is about 679.3207114983.

The spelling of 313490632 in words is "three hundred thirteen million, four hundred ninety thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 227 271 364 392 454 542 637 728 908 1084 1274 1589 1816 1897 2168 2548 2951 3178 3523 3794 5096 5902 6356 7046 7588 11123 11804 12712 13279 14092 15176 20657 22246 23608 24661 26558 28184 41314 44492 49322 53116 61517 82628 88984 98644 106232 123034 144599 165256 172627 197288 246068 289198 345254 430619 492136 578396 690508 799721 861238 1156792 1381016 1599442 1722476 3014333 3198884 3444952 5598047 6028666 6397768 11196094 12057332 22392188 24114664 39186329 44784376 78372658 156745316 313490632