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313007 = 2331439
BaseRepresentation
bin1001100011010101111
3120220100212
41030122233
540004012
610413035
72442362
oct1143257
9526325
10313007
111a4192
1213117b
13ac616
14820d9
1562b22
hex4c6af

313007 has 8 divisors (see below), whose sum is σ = 337920. Its totient is φ = 289080.

The previous prime is 313003. The next prime is 313009. The reversal of 313007 is 700313.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 313007 - 22 = 313003 is a prime.

It is a Duffinian number.

It is the 45-th Perrin number.

It is a junction number, because it is equal to n+sod(n) for n = 312982 and 313000.

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 313007.

It is not an unprimeable number, because it can be changed into a prime (313003) 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 7 ways as a sum of consecutive naturals, for example, 494 + ... + 932.

It is an arithmetic number, because the mean of its divisors is an integer number (42240).

2313007 is an apocalyptic number.

313007 is a deficient number, since it is larger than the sum of its proper divisors (24913).

313007 is a wasteful number, since it uses less digits than its factorization.

313007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493.

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 313007 is about 559.4702851805. The cubic root of 313007 is about 67.8971195121.

The spelling of 313007 in words is "three hundred thirteen thousand, seven".

Divisors: 1 23 31 439 713 10097 13609 313007