Search a number
-
+
314691327 = 32371138363
BaseRepresentation
bin10010110000011…
…100111011111111
3210221010222100100
4102300130323333
51121030110302
651120532143
710540555266
oct2260347377
9727128310
10314691327
111516a9285
1289481053
1350272ab2
142db195dd
151c961d1c
hex12c1ceff

314691327 has 24 divisors (see below), whose sum is σ = 471027024. Its totient is φ = 202293504.

The previous prime is 314691227. The next prime is 314691337. The reversal of 314691327 is 723196413.

It is not a de Polignac number, because 314691327 - 211 = 314689279 is a prime.

It is a super-3 number, since 3×3146913273 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314691291 and 314691300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314691337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33448 + ... + 41810.

It is an arithmetic number, because the mean of its divisors is an integer number (19626126).

Almost surely, 2314691327 is an apocalyptic number.

314691327 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

314691327 is a deficient number, since it is larger than the sum of its proper divisors (156335697).

314691327 is a wasteful number, since it uses less digits than its factorization.

314691327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8519 (or 8516 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 314691327 is about 17739.5413413087. The cubic root of 314691327 is about 680.1868913924.

The spelling of 314691327 in words is "three hundred fourteen million, six hundred ninety-one thousand, three hundred twenty-seven".

Divisors: 1 3 9 37 111 113 333 339 1017 4181 8363 12543 25089 37629 75267 309431 928293 945019 2784879 2835057 8505171 34965703 104897109 314691327