Search a number
-
+
3337109 is a prime number
BaseRepresentation
bin1100101110101110010101
320021112122122
430232232111
51323241414
6155305325
740236116
oct14565625
96245578
103337109
11197a246
12114b245
138cac29
1462c20d
1545db8e
hex32eb95

3337109 has 2 divisors, whose sum is σ = 3337110. Its totient is φ = 3337108.

The previous prime is 3337073. The next prime is 3337111. The reversal of 3337109 is 9017333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3276100 + 61009 = 1810^2 + 247^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3337109 is a prime.

It is a super-2 number, since 2×33371092 = 22272592955762, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 3337111, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3337129) 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, 1668554 + 1668555.

It is an arithmetic number, because the mean of its divisors is an integer number (1668555).

Almost surely, 23337109 is an apocalyptic number.

It is an amenable number.

3337109 is a deficient number, since it is larger than the sum of its proper divisors (1).

3337109 is an equidigital number, since it uses as much as digits as its factorization.

3337109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 26.

The square root of 3337109 is about 1826.7755746123. The cubic root of 3337109 is about 149.4365379052.

The spelling of 3337109 in words is "three million, three hundred thirty-seven thousand, one hundred nine".