Search a number
-
+
3388961 is a prime number
BaseRepresentation
bin1100111011011000100001
320101011210002
430323120201
51331421321
6200345345
740543232
oct14733041
96334702
103388961
111a051a4
121175255
13918704
14643089
1546e20b
hex33b621

3388961 has 2 divisors, whose sum is σ = 3388962. Its totient is φ = 3388960.

The previous prime is 3388949. The next prime is 3388963. The reversal of 3388961 is 1698833.

3388961 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., 2307361 + 1081600 = 1519^2 + 1040^2 .

It is an emirp because it is prime and its reverse (1698833) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3388961 is a prime.

It is a super-2 number, since 2×33889612 = 22970113319042, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 3388963, 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 (3388963) 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, 1694480 + 1694481.

It is an arithmetic number, because the mean of its divisors is an integer number (1694481).

Almost surely, 23388961 is an apocalyptic number.

It is an amenable number.

3388961 is a deficient number, since it is larger than the sum of its proper divisors (1).

3388961 is an equidigital number, since it uses as much as digits as its factorization.

3388961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 38.

The square root of 3388961 is about 1840.9130886601. The cubic root of 3388961 is about 150.2065450933.

The spelling of 3388961 in words is "three million, three hundred eighty-eight thousand, nine hundred sixty-one".