Search a number
-
+
3002961 = 31325923
BaseRepresentation
bin1011011101001001010001
312122120021210
423131021101
51232043321
6144210333
734344663
oct13351121
95576253
103002961
111771195
1210099a9
13811b00
14582533
153e4b76
hex2dd251

3002961 has 12 divisors (see below), whose sum is σ = 4336368. Its totient is φ = 1847664.

The previous prime is 3002953. The next prime is 3002977. The reversal of 3002961 is 1692003.

3002961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3002961 - 23 = 3002953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3002911) 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 in 11 ways as a sum of consecutive naturals, for example, 2455 + ... + 3468.

It is an arithmetic number, because the mean of its divisors is an integer number (361364).

Almost surely, 23002961 is an apocalyptic number.

It is an amenable number.

3002961 is a deficient number, since it is larger than the sum of its proper divisors (1333407).

3002961 is a wasteful number, since it uses less digits than its factorization.

3002961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952 (or 5939 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 3002961 is about 1732.9053638327. The cubic root of 3002961 is about 144.2723914391.

Adding to 3002961 its reverse (1692003), we get a palindrome (4694964).

The spelling of 3002961 in words is "three million, two thousand, nine hundred sixty-one".

Divisors: 1 3 13 39 169 507 5923 17769 76999 230997 1000987 3002961