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331314327 = 33471311993
BaseRepresentation
bin10011101111110…
…111010010010111
3212002102111211000
4103233313102113
51134304024302
652513114343
711132060661
oct2357672227
9762374730
10331314327
111600223a3
1292b589b3
13538430a6
1432005531
151e14731c
hex13bf7497

331314327 has 32 divisors (see below), whose sum is σ = 505359360. Its totient is φ = 214418880.

The previous prime is 331314307. The next prime is 331314341. The reversal of 331314327 is 723413133.

331314327 is a `hidden beast` number, since 331 + 3 + 1 + 4 + 327 = 666.

It is not a de Polignac number, because 331314327 - 210 = 331313303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 331314327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331314307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165243 + ... + 167235.

It is an arithmetic number, because the mean of its divisors is an integer number (15792480).

Almost surely, 2331314327 is an apocalyptic number.

331314327 is a deficient number, since it is larger than the sum of its proper divisors (174045033).

331314327 is a wasteful number, since it uses less digits than its factorization.

331314327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2174 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 331314327 is about 18202.0418360139. The cubic root of 331314327 is about 691.9585375884.

The spelling of 331314327 in words is "three hundred thirty-one million, three hundred fourteen thousand, three hundred twenty-seven".

Divisors: 1 3 9 27 47 131 141 393 423 1179 1269 1993 3537 5979 6157 17937 18471 53811 55413 93671 166239 261083 281013 783249 843039 2349747 2529117 7049241 12270901 36812703 110438109 331314327