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314314047 = 3343972791
BaseRepresentation
bin10010101111000…
…000110100111111
3210220102210211000
4102233000310333
51120431022142
651104501343
710534424325
oct2257006477
9726383730
10314314047
11151470883
128931a853
1350170158
142da5bd15
151c8da14c
hex12bc0d3f

314314047 has 32 divisors (see below), whose sum is σ = 481564160. Its totient is φ = 202487040.

The previous prime is 314314043. The next prime is 314314069. The reversal of 314314047 is 740413413.

It is not a de Polignac number, because 314314047 - 22 = 314314043 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 314314047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314314043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111222 + ... + 114012.

It is an arithmetic number, because the mean of its divisors is an integer number (15048880).

Almost surely, 2314314047 is an apocalyptic number.

314314047 is a deficient number, since it is larger than the sum of its proper divisors (167250113).

314314047 is a wasteful number, since it uses less digits than its factorization.

314314047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 314314047 is about 17728.9042808629. The cubic root of 314314047 is about 679.9149598095.

The spelling of 314314047 in words is "three hundred fourteen million, three hundred fourteen thousand, forty-seven".

Divisors: 1 3 9 27 43 97 129 291 387 873 1161 2619 2791 4171 8373 12513 25119 37539 75357 112617 120013 270727 360039 812181 1080117 2436543 3240351 7309629 11641261 34923783 104771349 314314047