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314054667 = 32198212237
BaseRepresentation
bin10010101110000…
…001100000001011
3210212221122000100
4102232001200023
51120344222132
651055140443
710532264163
oct2256014013
9725848010
10314054667
11151303a13
1289214723
13500ac084
142d9d15a3
151c88837c
hex12b8180b

314054667 has 24 divisors (see below), whose sum is σ = 478305360. Its totient is φ = 198020160.

The previous prime is 314054647. The next prime is 314054683. The reversal of 314054667 is 766450413.

It is a happy number.

It is not a de Polignac number, because 314054667 - 27 = 314054539 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314054647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139273 + ... + 141509.

It is an arithmetic number, because the mean of its divisors is an integer number (19929390).

Almost surely, 2314054667 is an apocalyptic number.

314054667 is a deficient number, since it is larger than the sum of its proper divisors (164250693).

314054667 is a wasteful number, since it uses less digits than its factorization.

314054667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 314054667 is about 17721.5875981809. The cubic root of 314054667 is about 679.7278805942.

It can be divided in two parts, 314054 and 667, that added together give a square (314721 = 5612).

The spelling of 314054667 in words is "three hundred fourteen million, fifty-four thousand, six hundred sixty-seven".

Divisors: 1 3 9 19 57 171 821 2237 2463 6711 7389 15599 20133 42503 46797 127509 140391 382527 1836577 5509731 16529193 34894963 104684889 314054667