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314030313 = 3260158057
BaseRepresentation
bin10010101101111…
…011100011101001
3210212220101121100
4102231323203221
51120342432223
651054432013
710532133162
oct2255734351
9725811540
10314030313
11151297693
1289202609
13500a0c6c
142d9c6769
151c881043
hex12b7b8e9

314030313 has 12 divisors (see below), whose sum is σ = 454361908. Its totient is φ = 209001600.

The previous prime is 314030303. The next prime is 314030317. The reversal of 314030313 is 313030413.

It can be written as a sum of positive squares in 2 ways, for example, as 209438784 + 104591529 = 14472^2 + 10227^2 .

It is not a de Polignac number, because 314030313 - 25 = 314030281 is a prime.

It is a super-3 number, since 3×3140303133 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314030317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23620 + ... + 34437.

Almost surely, 2314030313 is an apocalyptic number.

It is an amenable number.

314030313 is a deficient number, since it is larger than the sum of its proper divisors (140331595).

314030313 is a wasteful number, since it uses less digits than its factorization.

314030313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58664 (or 58661 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 314030313 is about 17720.9004568052. The cubic root of 314030313 is about 679.7103098520.

Adding to 314030313 its reverse (313030413), we get a palindrome (627060726).

The spelling of 314030313 in words is "three hundred fourteen million, thirty thousand, three hundred thirteen".

Divisors: 1 3 9 601 1803 5409 58057 174171 522513 34892257 104676771 314030313