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314315017 = 9710493089
BaseRepresentation
bin10010101111000…
…001000100001001
3210220102212010221
4102233001010021
51120431040032
651104510041
710534430212
oct2257010411
9726385127
10314315017
11151471585
128931b321
1350170723
142da5c409
151c8da597
hex12bc1109

314315017 has 8 divisors (see below), whose sum is σ = 317961000. Its totient is φ = 310677504.

The previous prime is 314315011. The next prime is 314315039. The reversal of 314315017 is 710513413.

It can be written as a sum of positive squares in 4 ways, for example, as 178382736 + 135932281 = 13356^2 + 11659^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314315017 - 211 = 314312969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 314314982 and 314315000.

It is not an unprimeable number, because it can be changed into a prime (314315011) 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, 100209 + ... + 103297.

It is an arithmetic number, because the mean of its divisors is an integer number (39745125).

Almost surely, 2314315017 is an apocalyptic number.

It is an amenable number.

314315017 is a deficient number, since it is larger than the sum of its proper divisors (3645983).

314315017 is a wasteful number, since it uses less digits than its factorization.

314315017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 314315017 is about 17728.9316372984. The cubic root of 314315017 is about 679.9156592340.

The spelling of 314315017 in words is "three hundred fourteen million, three hundred fifteen thousand, seventeen".

Divisors: 1 97 1049 3089 101753 299633 3240361 314315017