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420331321 = 432281809
BaseRepresentation
bin11001000011011…
…011111100111001
31002021221001011201
4121003123330321
51330101100241
6105413054201
713262520514
oct3103337471
91067831151
10420331321
111a62a2163
12b8927361
136910c777
143db77d7b
1526d7c931
hex190dbf39

420331321 has 12 divisors (see below), whose sum is σ = 432399060. Its totient is φ = 408589440.

The previous prime is 420331291. The next prime is 420331333. The reversal of 420331321 is 123133024.

It can be written as a sum of positive squares in 2 ways, for example, as 330839721 + 89491600 = 18189^2 + 9460^2 .

It is not a de Polignac number, because 420331321 - 27 = 420331193 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420331381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519165 + ... + 519973.

It is an arithmetic number, because the mean of its divisors is an integer number (36033255).

Almost surely, 2420331321 is an apocalyptic number.

It is an amenable number.

420331321 is a deficient number, since it is larger than the sum of its proper divisors (12067739).

420331321 is an equidigital number, since it uses as much as digits as its factorization.

420331321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 420331321 is about 20501.9833430817. The cubic root of 420331321 is about 749.0841092400.

Adding to 420331321 its reverse (123133024), we get a palindrome (543464345).

The spelling of 420331321 in words is "four hundred twenty million, three hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 43 281 809 1849 12083 34787 227329 519569 1495841 9775147 420331321