Search a number
-
+
313686 = 23337157
BaseRepresentation
bin1001100100101010110
3120221022000
41030211112
540014221
610420130
72444352
oct1144526
9527260
10313686
111a474a
12131646
13aca19
1482462
1562e26
hex4c956

313686 has 32 divisors (see below), whose sum is σ = 720480. Its totient is φ = 101088.

The previous prime is 313679. The next prime is 313699. The reversal of 313686 is 686313.

313686 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1920 + ... + 2076.

It is an arithmetic number, because the mean of its divisors is an integer number (22515).

2313686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360240).

313686 is an abundant number, since it is smaller than the sum of its proper divisors (406794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313686 is a wasteful number, since it uses less digits than its factorization.

313686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 313686 is about 560.0767804507. The cubic root of 313686 is about 67.9461800210.

Adding to 313686 its reverse (686313), we get a palindrome (999999).

It can be divided in two parts, 313 and 686, that added together give a palindrome (999).

The spelling of 313686 in words is "three hundred thirteen thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 157 222 314 333 471 666 942 999 1413 1998 2826 4239 5809 8478 11618 17427 34854 52281 104562 156843 313686