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395406 = 232111997
BaseRepresentation
bin1100000100010001110
3202002101200
41200202032
5100123111
612250330
73234534
oct1404216
9662350
10395406
11250090
121709a6
1310ac8b
14a4154
157c256
hex6088e

395406 has 24 divisors (see below), whose sum is σ = 935064. Its totient is φ = 119760.

The previous prime is 395383. The next prime is 395407. The reversal of 395406 is 604593.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 395406.

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 395406.

It is not an unprimeable number, because it can be changed into a prime (395407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 801 + ... + 1196.

It is an arithmetic number, because the mean of its divisors is an integer number (38961).

2395406 is an apocalyptic number.

395406 is an abundant number, since it is smaller than the sum of its proper divisors (539658).

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

395406 is a wasteful number, since it uses less digits than its factorization.

395406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 395406 is about 628.8131678011. The cubic root of 395406 is about 73.3974691443.

Adding to 395406 its reverse (604593), we get a palindrome (999999).

It can be divided in two parts, 39 and 5406, that added together give a palindrome (5445).

The spelling of 395406 in words is "three hundred ninety-five thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1997 3994 5991 11982 17973 21967 35946 43934 65901 131802 197703 395406