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420303329 is a prime number
BaseRepresentation
bin11001000011010…
…101000111100001
31002021212121202222
4121003111013201
51330044201304
6105412320425
713262343065
oct3103250741
91067777688
10420303329
111a6283126
12b8913115
13690ccac4
143db6baa5
1526d744be
hex190d51e1

420303329 has 2 divisors, whose sum is σ = 420303330. Its totient is φ = 420303328.

The previous prime is 420303283. The next prime is 420303337. The reversal of 420303329 is 923303024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 353440000 + 66863329 = 18800^2 + 8177^2 .

It is a cyclic number.

It is not a de Polignac number, because 420303329 - 220 = 419254753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420303298 and 420303307.

It is not a weakly prime, because it can be changed into another prime (420303029) 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 as a sum of consecutive naturals, namely, 210151664 + 210151665.

It is an arithmetic number, because the mean of its divisors is an integer number (210151665).

Almost surely, 2420303329 is an apocalyptic number.

It is an amenable number.

420303329 is a deficient number, since it is larger than the sum of its proper divisors (1).

420303329 is an equidigital number, since it uses as much as digits as its factorization.

420303329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 420303329 is about 20501.3006660553. The cubic root of 420303329 is about 749.0674804310.

The spelling of 420303329 in words is "four hundred twenty million, three hundred three thousand, three hundred twenty-nine".