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315406 = 27131733
BaseRepresentation
bin1001101000000001110
3121000122201
41031000032
540043111
610432114
72452360
oct1150016
9530581
10315406
111a5a73
1213263a
13b0740
1482d30
15636c1
hex4d00e

315406 has 16 divisors (see below), whose sum is σ = 582624. Its totient is φ = 124704.

The previous prime is 315389. The next prime is 315407. The reversal of 315406 is 604513.

315406 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315407) by changing a digit.

315406 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 685 + ... + 1048.

It is an arithmetic number, because the mean of its divisors is an integer number (36414).

2315406 is an apocalyptic number.

315406 is a deficient number, since it is larger than the sum of its proper divisors (267218).

315406 is a wasteful number, since it uses less digits than its factorization.

315406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 315406 is about 561.6101850928. The cubic root of 315406 is about 68.0701410052.

Adding to 315406 its reverse (604513), we get a palindrome (919919).

The spelling of 315406 in words is "three hundred fifteen thousand, four hundred six".

Divisors: 1 2 7 13 14 26 91 182 1733 3466 12131 22529 24262 45058 157703 315406