Search a number
-
+
3029329 is a prime number
BaseRepresentation
bin1011100011100101010001
312200220110101
423203211101
51233414304
6144532401
734514602
oct13434521
95626411
103029329
111789a86
121021101
13820b04
1458bda9
153ec8a4
hex2e3951

3029329 has 2 divisors, whose sum is σ = 3029330. Its totient is φ = 3029328.

The previous prime is 3029309. The next prime is 3029339. The reversal of 3029329 is 9239203.

It is a happy number.

3029329 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., 2798929 + 230400 = 1673^2 + 480^2 .

It is a cyclic number.

It is not a de Polignac number, because 3029329 - 215 = 2996561 is a prime.

It is equal to p218773 and since 3029329 and 218773 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 3029297 and 3029306.

It is not a weakly prime, because it can be changed into another prime (3029309) 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, 1514664 + 1514665.

It is an arithmetic number, because the mean of its divisors is an integer number (1514665).

Almost surely, 23029329 is an apocalyptic number.

It is an amenable number.

3029329 is a deficient number, since it is larger than the sum of its proper divisors (1).

3029329 is an equidigital number, since it uses as much as digits as its factorization.

3029329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 3029329 is about 1740.4967681671. The cubic root of 3029329 is about 144.6934307645.

The spelling of 3029329 in words is "three million, twenty-nine thousand, three hundred twenty-nine".