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316252960 = 2554321069
BaseRepresentation
bin10010110110011…
…010001100100000
3211001002022111121
4102312122030200
51121430043320
651214222024
710560051202
oct2266321440
9731068447
10316252960
11152575591
1289ab4914
135069b83a
1430004772
151cb6e8aa
hex12d9a320

316252960 has 72 divisors (see below), whose sum is σ = 765642780. Its totient is φ = 123443712.

The previous prime is 316252943. The next prime is 316252969. The reversal of 316252960 is 69252613.

It can be written as a sum of positive squares in 2 ways, for example, as 313856656 + 2396304 = 17716^2 + 1548^2 .

It is not an unprimeable number, because it can be changed into a prime (316252969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295306 + ... + 296374.

Almost surely, 2316252960 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 316252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382821390).

316252960 is an abundant number, since it is smaller than the sum of its proper divisors (449389820).

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

316252960 is a wasteful number, since it uses less digits than its factorization.

316252960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 316252960 is about 17783.5024671745. The cubic root of 316252960 is about 681.3101615079.

The spelling of 316252960 in words is "three hundred sixteen million, two hundred fifty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1069 1376 1720 1849 2138 3440 3698 4276 5345 6880 7396 8552 9245 10690 14792 17104 18490 21380 29584 34208 36980 42760 45967 59168 73960 85520 91934 147920 171040 183868 229835 295840 367736 459670 735472 919340 1470944 1838680 1976581 3677360 3953162 7354720 7906324 9882905 15812648 19765810 31625296 39531620 63250592 79063240 158126480 316252960