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316612640 = 25519310253
BaseRepresentation
bin10010110111110…
…010000000100000
3211001202120220002
4102313302000200
51122023101030
651230035132
710563106631
oct2267620040
9731676802
10316612640
111527a0843
128a048aa8
1350796476
1430099888
151cbe1245
hex12df2020

316612640 has 48 divisors (see below), whose sum is σ = 751946328. Its totient is φ = 125976576.

The previous prime is 316612601. The next prime is 316612649. The reversal of 316612640 is 46216613.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 148547344 + 168065296 = 12188^2 + 12964^2 .

It is not an unprimeable number, because it can be changed into a prime (316612649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25754 + ... + 36006.

Almost surely, 2316612640 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 316612640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375973164).

316612640 is an abundant number, since it is smaller than the sum of its proper divisors (435333688).

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

316612640 is a wasteful number, since it uses less digits than its factorization.

316612640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10461 (or 10453 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 316612640 is about 17793.6123370158. The cubic root of 316612640 is about 681.5683522890.

The spelling of 316612640 in words is "three hundred sixteen million, six hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 193 386 772 965 1544 1930 3088 3860 6176 7720 10253 15440 20506 30880 41012 51265 82024 102530 164048 205060 328096 410120 820240 1640480 1978829 3957658 7915316 9894145 15830632 19788290 31661264 39576580 63322528 79153160 158306320 316612640