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314717052 = 223133795323
BaseRepresentation
bin10010110000100…
…011001101111100
3210221012021122010
4102300203031330
51121031421202
651121251220
710541023266
oct2260431574
9727167563
10314717052
11151716641
1289493b10
1350281710
142db24b36
151c96976c
hex12c2337c

314717052 has 48 divisors (see below), whose sum is σ = 793063040. Its totient is φ = 96562368.

The previous prime is 314717041. The next prime is 314717057. The reversal of 314717052 is 250717413.

It is a super-3 number, since 3×3147170523 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314717057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56463 + ... + 61785.

Almost surely, 2314717052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314717052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396531520).

314717052 is an abundant number, since it is smaller than the sum of its proper divisors (478345988).

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

314717052 is a wasteful number, since it uses less digits than its factorization.

314717052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5722 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 314717052 is about 17740.2664016074. The cubic root of 314717052 is about 680.2054252482.

The spelling of 314717052 in words is "three hundred fourteen million, seven hundred seventeen thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 379 758 1137 1516 2274 4548 4927 5323 9854 10646 14781 15969 19708 21292 29562 31938 59124 63876 69199 138398 207597 276796 415194 830388 2017417 4034834 6052251 8069668 12104502 24209004 26226421 52452842 78679263 104905684 157358526 314717052