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314936397 = 3320175783
BaseRepresentation
bin10010110001011…
…000110001001101
3210221121102112000
4102301120301031
51121110431042
651130102513
710542625626
oct2261306115
9727542460
10314936397
11151856416
128957aa39
135032a4c9
142db80a4d
151c9ae74c
hex12c58c4d

314936397 has 16 divisors (see below), whose sum is σ = 466884480. Its totient is φ = 209817216.

The previous prime is 314936393. The next prime is 314936431. The reversal of 314936397 is 793639413.

It is a happy number.

314936397 is a `hidden beast` number, since 3 + 1 + 4 + 9 + 3 + 639 + 7 = 666.

It is not a de Polignac number, because 314936397 - 22 = 314936393 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314936393) 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, 51568 + ... + 57350.

It is an arithmetic number, because the mean of its divisors is an integer number (29180280).

Almost surely, 2314936397 is an apocalyptic number.

It is an amenable number.

314936397 is a deficient number, since it is larger than the sum of its proper divisors (151948083).

314936397 is a wasteful number, since it uses less digits than its factorization.

314936397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7809 (or 7803 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 314936397 is about 17746.4474473062. The cubic root of 314936397 is about 680.3634137328.

The spelling of 314936397 in words is "three hundred fourteen million, nine hundred thirty-six thousand, three hundred ninety-seven".

Divisors: 1 3 9 27 2017 5783 6051 17349 18153 52047 54459 156141 11664311 34992933 104978799 314936397