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319314 = 23192801
BaseRepresentation
bin1001101111101010010
3121020000110
41031331102
540204224
610502150
72466642
oct1157522
9536013
10319314
111a89a6
12134956
13b2458
1484522
1564929
hex4df52

319314 has 16 divisors (see below), whose sum is σ = 672480. Its totient is φ = 100800.

The previous prime is 319313. The next prime is 319321. The reversal of 319314 is 413913.

319314 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×3193142 = 203922861192, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 319314.

It is not an unprimeable number, because it can be changed into a prime (319313) 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, 1287 + ... + 1514.

It is an arithmetic number, because the mean of its divisors is an integer number (42030).

2319314 is an apocalyptic number.

319314 is an abundant number, since it is smaller than the sum of its proper divisors (353166).

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

319314 is a wasteful number, since it uses less digits than its factorization.

319314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825.

The product of its digits is 324, while the sum is 21.

The square root of 319314 is about 565.0787555731. The cubic root of 319314 is about 68.3501260864.

The spelling of 319314 in words is "three hundred nineteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 19 38 57 114 2801 5602 8403 16806 53219 106438 159657 319314