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314007 = 31747131
BaseRepresentation
bin1001100101010010111
3120221201220
41030222113
540022012
610421423
72445321
oct1145227
9527656
10314007
111a4a11
12131873
13acc05
1482611
156308c
hex4ca97

314007 has 16 divisors (see below), whose sum is σ = 456192. Its totient is φ = 191360.

The previous prime is 314003. The next prime is 314021. The reversal of 314007 is 700413.

It is a cyclic number.

It is not a de Polignac number, because 314007 - 22 = 314003 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314007.

It is not an unprimeable number, because it can be changed into a prime (314003) 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, 2332 + ... + 2462.

It is an arithmetic number, because the mean of its divisors is an integer number (28512).

2314007 is an apocalyptic number.

314007 is a deficient number, since it is larger than the sum of its proper divisors (142185).

314007 is a wasteful number, since it uses less digits than its factorization.

314007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 314007 is about 560.3632750279. The cubic root of 314007 is about 67.9693489312.

The spelling of 314007 in words is "three hundred fourteen thousand, seven", and thus it is an iban number.

Divisors: 1 3 17 47 51 131 141 393 799 2227 2397 6157 6681 18471 104669 314007