Search a number
-
+
3000733 is a prime number
BaseRepresentation
bin1011011100100110011101
312122110020021
423130212131
51232010413
6144152141
734335331
oct13344635
95573207
103000733
11176a54a
121008651
13810aa8
145817c1
153e418d
hex2dc99d

3000733 has 2 divisors, whose sum is σ = 3000734. Its totient is φ = 3000732.

The previous prime is 3000709. The next prime is 3000743. The reversal of 3000733 is 3370003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2732409 + 268324 = 1653^2 + 518^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3000733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3000743) 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, 1500366 + 1500367.

It is an arithmetic number, because the mean of its divisors is an integer number (1500367).

Almost surely, 23000733 is an apocalyptic number.

It is an amenable number.

3000733 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000733 is an equidigital number, since it uses as much as digits as its factorization.

3000733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 16.

The square root of 3000733 is about 1732.2623935189. The cubic root of 3000733 is about 144.2367023957.

Adding to 3000733 its reverse (3370003), we get a palindrome (6370736).

The spelling of 3000733 in words is "three million, seven hundred thirty-three", and thus it is an aban number.