Search a number
-
+
3008801 is a prime number
BaseRepresentation
bin1011011110100100100001
312122212022002
423132210201
51232240201
6144253345
734401005
oct13364441
95585262
103008801
111775614
121011255
13814673
14584705
153e676b
hex2de921

3008801 has 2 divisors, whose sum is σ = 3008802. Its totient is φ = 3008800.

The previous prime is 3008773. The next prime is 3008807. The reversal of 3008801 is 1088003.

3008801 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., 1628176 + 1380625 = 1276^2 + 1175^2 .

It is a cyclic number.

It is not a de Polignac number, because 3008801 - 210 = 3007777 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (3008807) 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, 1504400 + 1504401.

It is an arithmetic number, because the mean of its divisors is an integer number (1504401).

Almost surely, 23008801 is an apocalyptic number.

It is an amenable number.

3008801 is a deficient number, since it is larger than the sum of its proper divisors (1).

3008801 is an equidigital number, since it uses as much as digits as its factorization.

3008801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 3008801 is about 1734.5895768164. The cubic root of 3008801 is about 144.3658553205.

The spelling of 3008801 in words is "three million, eight thousand, eight hundred one".