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315009 = 343889
BaseRepresentation
bin1001100111010000001
3121000010000
41030322001
540040014
610430213
72451252
oct1147201
9530100
10315009
111a5742
12132369
13b04c6
1482b29
1563509
hex4ce81

315009 has 10 divisors (see below), whose sum is σ = 470690. Its totient is φ = 209952.

The previous prime is 314989. The next prime is 315011. The reversal of 315009 is 900513.

It can be written as a sum of positive squares in only one way, i.e., 291600 + 23409 = 540^2 + 153^2 .

It is not a de Polignac number, because 315009 - 29 = 314497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 314982 and 315000.

It is not an unprimeable number, because it can be changed into a prime (315059) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1864 + ... + 2025.

It is an arithmetic number, because the mean of its divisors is an integer number (47069).

315009 is a Friedman number, since it can be written as 35001*9, using all its digits and the basic arithmetic operations.

2315009 is an apocalyptic number.

It is an amenable number.

315009 is a deficient number, since it is larger than the sum of its proper divisors (155681).

315009 is an equidigital number, since it uses as much as digits as its factorization.

315009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 315009 is about 561.2566257961. The cubic root of 315009 is about 68.0415691621.

The spelling of 315009 in words is "three hundred fifteen thousand, nine".

Divisors: 1 3 9 27 81 3889 11667 35001 105003 315009