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316630944 = 253672277
BaseRepresentation
bin10010110111110…
…110011110100000
3211001210112000000
4102313312132200
51122024142234
651230300000
710563214200
oct2267663640
9731715000
10316630944
11152803573
128a057600
13507a18b6
14300a2400
151cbe6899
hex12df67a0

316630944 has 252 divisors, whose sum is σ = 1091139714. Its totient is φ = 90139392.

The previous prime is 316630943. The next prime is 316630981. The reversal of 316630944 is 449036613.

316630944 is a `hidden beast` number, since 3 + 16 + 630 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 302342544 + 14288400 = 17388^2 + 3780^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×3166309442 = 200510309396662272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 316630899 and 316630908.

It is not an unprimeable number, because it can be changed into a prime (316630943) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1142934 + ... + 1143210.

Almost surely, 2316630944 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 316630944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545569857).

316630944 is an abundant number, since it is smaller than the sum of its proper divisors (774508770).

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

316630944 is an equidigital number, since it uses as much as digits as its factorization.

316630944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 316630944 is about 17794.1266714610. The cubic root of 316630944 is about 681.5814863053.

The spelling of 316630944 in words is "three hundred sixteen million, six hundred thirty thousand, nine hundred forty-four".