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3380833 is a prime number
BaseRepresentation
bin1100111001011001100001
320100202122001
430321121201
51331141313
6200244001
740510441
oct14713141
96322561
103380833
1119aa085
121170601
13914ac1
14640121
1546badd
hex339661

3380833 has 2 divisors, whose sum is σ = 3380834. Its totient is φ = 3380832.

The previous prime is 3380813. The next prime is 3380837.

3380833 is nontrivially palindromic in base 10.

3380833 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2663424 + 717409 = 1632^2 + 847^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 3380833 - 213 = 3372641 is a prime.

It is a super-2 number, since 2×33808332 = 22860063547778, which contains 22 as substring.

3380833 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (3380837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1690416 + 1690417.

It is an arithmetic number, because the mean of its divisors is an integer number (1690417).

Almost surely, 23380833 is an apocalyptic number.

It is an amenable number.

3380833 is a deficient number, since it is larger than the sum of its proper divisors (1).

3380833 is an equidigital number, since it uses as much as digits as its factorization.

3380833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 3380833 is about 1838.7041632628. The cubic root of 3380833 is about 150.0863650791.

The spelling of 3380833 in words is "three million, three hundred eighty thousand, eight hundred thirty-three".