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316590208 = 2711220441
BaseRepresentation
bin10010110111101…
…100100010000000
3211001201110010021
4102313230202000
51122021341313
651225343224
710562654344
oct2267544200
9731643107
10316590208
11152785a00
128a037b14
13507891ac
1430091624
151cbd978d
hex12dec880

316590208 has 48 divisors (see below), whose sum is σ = 693290430. Its totient is φ = 143897600.

The previous prime is 316590203. The next prime is 316590221. The reversal of 316590208 is 802095613.

It can be written as a sum of positive squares in only one way, i.e., 221176384 + 95413824 = 14872^2 + 9768^2 .

It is not an unprimeable number, because it can be changed into a prime (316590203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5268 + ... + 25708.

Almost surely, 2316590208 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 316590208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346645215).

316590208 is an abundant number, since it is smaller than the sum of its proper divisors (376700222).

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

316590208 is a wasteful number, since it uses less digits than its factorization.

316590208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20477 (or 20454 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 316590208 is about 17792.9819872893. The cubic root of 316590208 is about 681.5522555402.

The spelling of 316590208 in words is "three hundred sixteen million, five hundred ninety thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 7744 15488 20441 40882 81764 163528 224851 327056 449702 654112 899404 1308224 1798808 2473361 2616448 3597616 4946722 7195232 9893444 14390464 19786888 28780928 39573776 79147552 158295104 316590208