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420403393 is a prime number
BaseRepresentation
bin11001000011101…
…101100011000001
31002022001201001001
4121003231203001
51330110402033
6105414412001
713263240604
oct3103554301
91068051031
10420403393
111a6341323
12b8961001
1369136507
143db9633b
1526d93e7d
hex190ed8c1

420403393 has 2 divisors, whose sum is σ = 420403394. Its totient is φ = 420403392.

The previous prime is 420403349. The next prime is 420403409. The reversal of 420403393 is 393304024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 256384144 + 164019249 = 16012^2 + 12807^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-420403393 is a prime.

It is not a weakly prime, because it can be changed into another prime (420401393) 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, 210201696 + 210201697.

It is an arithmetic number, because the mean of its divisors is an integer number (210201697).

Almost surely, 2420403393 is an apocalyptic number.

It is an amenable number.

420403393 is a deficient number, since it is larger than the sum of its proper divisors (1).

420403393 is an equidigital number, since it uses as much as digits as its factorization.

420403393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 420403393 is about 20503.7409513484. The cubic root of 420403393 is about 749.1269206302.

The spelling of 420403393 in words is "four hundred twenty million, four hundred three thousand, three hundred ninety-three".