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3382993 is a prime number
BaseRepresentation
bin1100111001111011010001
320100212121001
430321323101
51331223433
6200302001
740516645
oct14717321
96325531
103382993
111a00769
121171901
13915a93
14640c25
1546c57d
hex339ed1

3382993 has 2 divisors, whose sum is σ = 3382994. Its totient is φ = 3382992.

The previous prime is 3382991. The next prime is 3383041. The reversal of 3382993 is 3992833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3359889 + 23104 = 1833^2 + 152^2 .

It is a cyclic number.

It is not a de Polignac number, because 3382993 - 21 = 3382991 is a prime.

It is a super-2 number, since 2×33829932 = 22889283276098, which contains 22 as substring.

Together with 3382991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3382991) 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, 1691496 + 1691497.

It is an arithmetic number, because the mean of its divisors is an integer number (1691497).

Almost surely, 23382993 is an apocalyptic number.

It is an amenable number.

3382993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3382993 is an equidigital number, since it uses as much as digits as its factorization.

3382993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34992, while the sum is 37.

The square root of 3382993 is about 1839.2914396582. The cubic root of 3382993 is about 150.1183214572.

The spelling of 3382993 in words is "three million, three hundred eighty-two thousand, nine hundred ninety-three".