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314381323 = 17315910111
BaseRepresentation
bin10010101111010…
…001010000001011
3210220120020002201
4102233101100023
51120440200243
651110141031
710535124424
oct2257212013
9726506081
10314381323
11151507383
1289351777
1350194969
142da7864b
151c90004d
hex12bd140b

314381323 has 16 divisors (see below), whose sum is σ = 349470720. Its totient is φ = 281462400.

The previous prime is 314381321. The next prime is 314381339. The reversal of 314381323 is 323183413.

It is a cyclic number.

It is not a de Polignac number, because 314381323 - 21 = 314381321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 314381291 and 314381300.

It is not an unprimeable number, because it can be changed into a prime (314381321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26038 + ... + 36148.

It is an arithmetic number, because the mean of its divisors is an integer number (21841920).

Almost surely, 2314381323 is an apocalyptic number.

314381323 is a deficient number, since it is larger than the sum of its proper divisors (35089397).

314381323 is a wasteful number, since it uses less digits than its factorization.

314381323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10218.

The product of its digits is 5184, while the sum is 28.

The square root of 314381323 is about 17730.8015329257. The cubic root of 314381323 is about 679.9634661745.

It can be divided in two parts, 31438 and 1323, that added together give a square (32761 = 1812).

The spelling of 314381323 in words is "three hundred fourteen million, three hundred eighty-one thousand, three hundred twenty-three".

Divisors: 1 17 31 59 527 1003 1829 10111 31093 171887 313441 596549 5328497 10141333 18493019 314381323