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314133328 = 241371391031
BaseRepresentation
bin10010101110010…
…100101101010000
3210220002121220201
4102232110231100
51120404231303
651100544544
710533042415
oct2256245520
9726077821
10314133328
11151358023
1289252154
1350108b12
142da1210c
151c8a181d
hex12b94b50

314133328 has 40 divisors (see below), whose sum is σ = 618085440. Its totient is φ = 154648320.

The previous prime is 314133301. The next prime is 314133329. The reversal of 314133328 is 823331413.

It is a junction number, because it is equal to n+sod(n) for n = 314133296 and 314133305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314133329) 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 7 ways as a sum of consecutive naturals, for example, 304173 + ... + 305203.

It is an arithmetic number, because the mean of its divisors is an integer number (15452136).

Almost surely, 2314133328 is an apocalyptic number.

It is an amenable number.

314133328 is a deficient number, since it is larger than the sum of its proper divisors (303952112).

314133328 is a wasteful number, since it uses less digits than its factorization.

314133328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1309 counting only the distinct ones).

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

The square root of 314133328 is about 17723.8068145644. The cubic root of 314133328 is about 679.7846261410.

The spelling of 314133328 in words is "three hundred fourteen million, one hundred thirty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 137 139 274 278 548 556 1031 1096 1112 2062 2192 2224 4124 8248 16496 19043 38086 76172 141247 143309 152344 282494 286618 304688 564988 573236 1129976 1146472 2259952 2292944 19633333 39266666 78533332 157066664 314133328