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820030369 is a prime number
BaseRepresentation
bin110000111000001…
…010101110100001
32010011000212012011
4300320022232201
53134411432434
6213212032521
726215100044
oct6070125641
92104025164
10820030369
11390981a54
121aa762741
13100b77092
147aca0c5b
154bed1e64
hex30e0aba1

820030369 has 2 divisors, whose sum is σ = 820030370. Its totient is φ = 820030368.

The previous prime is 820030327. The next prime is 820030373. The reversal of 820030369 is 963030028.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 487879744 + 332150625 = 22088^2 + 18225^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-820030369 is a prime.

It is a super-2 number, since 2×8200303692 = 1344899612164552322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 820030369.

It is not a weakly prime, because it can be changed into another prime (820030319) 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, 410015184 + 410015185.

It is an arithmetic number, because the mean of its divisors is an integer number (410015185).

Almost surely, 2820030369 is an apocalyptic number.

It is an amenable number.

820030369 is a deficient number, since it is larger than the sum of its proper divisors (1).

820030369 is an equidigital number, since it uses as much as digits as its factorization.

820030369 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 31.

The square root of 820030369 is about 28636.1723873845. The cubic root of 820030369 is about 936.0017170842.

The spelling of 820030369 in words is "eight hundred twenty million, thirty thousand, three hundred sixty-nine".