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380408033 is a prime number
BaseRepresentation
bin10110101011001…
…001000011100001
3222111210201201102
4112223021003201
51234341024113
6101425244145
712266262215
oct2653110341
9874721642
10380408033
11185804205
12a7493655
1360a71b15
1438744945
15235e3758
hex16ac90e1

380408033 has 2 divisors, whose sum is σ = 380408034. Its totient is φ = 380408032.

The previous prime is 380408027. The next prime is 380408069. The reversal of 380408033 is 330804083.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 332077729 + 48330304 = 18223^2 + 6952^2 .

It is an emirp because it is prime and its reverse (330804083) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 380408033 - 26 = 380407969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 380407987 and 380408005.

It is not a weakly prime, because it can be changed into another prime (380408003) 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, 190204016 + 190204017.

It is an arithmetic number, because the mean of its divisors is an integer number (190204017).

Almost surely, 2380408033 is an apocalyptic number.

It is an amenable number.

380408033 is a deficient number, since it is larger than the sum of its proper divisors (1).

380408033 is an equidigital number, since it uses as much as digits as its factorization.

380408033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 380408033 is about 19504.0517072735. The cubic root of 380408033 is about 724.5748013318.

The spelling of 380408033 in words is "three hundred eighty million, four hundred eight thousand, thirty-three".