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314406 = 23217467
BaseRepresentation
bin1001100110000100110
3120222021200
41030300212
540030111
610423330
72446431
oct1146046
9528250
10314406
111a5244
12131b46
13b0151
1482818
1563256
hex4cc26

314406 has 12 divisors (see below), whose sum is σ = 681252. Its totient is φ = 104796.

The previous prime is 314401. The next prime is 314407. The reversal of 314406 is 604413.

It is a super-2 number, since 2×3144062 = 197702265672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 17467 = 314406 / (3 + 1 + 4 + 4 + 0 + 6).

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 314406.

It is not an unprimeable number, because it can be changed into a prime (314401) by changing a digit.

314406 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8716 + ... + 8751.

It is an arithmetic number, because the mean of its divisors is an integer number (56771).

2314406 is an apocalyptic number.

314406 is an abundant number, since it is smaller than the sum of its proper divisors (366846).

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

314406 is a wasteful number, since it uses less digits than its factorization.

314406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17475 (or 17472 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 314406 is about 560.7191810523. The cubic root of 314406 is about 67.9981256692.

Adding to 314406 its reverse (604413), we get a palindrome (918819).

The spelling of 314406 in words is "three hundred fourteen thousand, four hundred six".

Divisors: 1 2 3 6 9 18 17467 34934 52401 104802 157203 314406