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382064029 is a prime number
BaseRepresentation
bin10110110001011…
…101010110011101
3222121220212022121
4112301131112131
51240302022104
6101524542541
712316330204
oct2661352635
9877825277
10382064029
111867353a6
12a7b51a51
13612017b9
1438a5623b
152381e254
hex16c5d59d

382064029 has 2 divisors, whose sum is σ = 382064030. Its totient is φ = 382064028.

The previous prime is 382063991. The next prime is 382064047. The reversal of 382064029 is 920460283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 291623929 + 90440100 = 17077^2 + 9510^2 .

It is an emirp because it is prime and its reverse (920460283) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 382064029 - 225 = 348509597 is a prime.

It is equal to p20429917 and since 382064029 and 20429917 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 382063985 and 382064003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (382064329) 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 as a sum of consecutive naturals, namely, 191032014 + 191032015.

It is an arithmetic number, because the mean of its divisors is an integer number (191032015).

Almost surely, 2382064029 is an apocalyptic number.

It is an amenable number.

382064029 is a deficient number, since it is larger than the sum of its proper divisors (1).

382064029 is an equidigital number, since it uses as much as digits as its factorization.

382064029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 382064029 is about 19546.4582213761. The cubic root of 382064029 is about 725.6246880664.

The spelling of 382064029 in words is "three hundred eighty-two million, sixty-four thousand, twenty-nine".