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423405 = 325972
BaseRepresentation
bin1100111010111101101
3210111210200
41213113231
5102022110
613024113
73412263
oct1472755
9714720
10423405
1126a124
12185039
1311a948
14b0433
15856c0
hex675ed

423405 has 18 divisors (see below), whose sum is σ = 741546. Its totient is φ = 223488.

The previous prime is 423403. The next prime is 423413. The reversal of 423405 is 504324.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 30276 + 393129 = 174^2 + 627^2 .

It is not a de Polignac number, because 423405 - 21 = 423403 is a prime.

423405 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4317 + ... + 4413.

It is an arithmetic number, because the mean of its divisors is an integer number (41197).

2423405 is an apocalyptic number.

423405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

423405 is a deficient number, since it is larger than the sum of its proper divisors (318141).

423405 is an equidigital number, since it uses as much as digits as its factorization.

423405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 423405 is about 650.6957814524. The cubic root of 423405 is about 75.0905572810.

Adding to 423405 its reverse (504324), we get a palindrome (927729).

It can be divided in two parts, 423 and 405, that added together give a palindrome (828).

The spelling of 423405 in words is "four hundred twenty-three thousand, four hundred five".

Divisors: 1 3 5 9 15 45 97 291 485 873 1455 4365 9409 28227 47045 84681 141135 423405