Search a number
-
+
3303144 = 2332133529
BaseRepresentation
bin1100100110011011101000
320012211001200
430212123220
51321200034
6154444200
740035105
oct14463350
96184050
103303144
111956779
121133660
138b8630
1461daac
15453a99
hex3266e8

3303144 has 48 divisors (see below), whose sum is σ = 9636900. Its totient is φ = 1016064.

The previous prime is 3303137. The next prime is 3303149. The reversal of 3303144 is 4413033.

3303144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2722500 + 580644 = 1650^2 + 762^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3303149) 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, 829 + ... + 2700.

Almost surely, 23303144 is an apocalyptic number.

It is an amenable number.

3303144 is an abundant number, since it is smaller than the sum of its proper divisors (6333756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3303144 is a wasteful number, since it uses less digits than its factorization.

3303144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3303144 is about 1817.4553639636. The cubic root of 3303144 is about 148.9278211432.

Adding to 3303144 its reverse (4413033), we get a palindrome (7716177).

It can be divided in two parts, 330 and 3144, that multiplied together give a triangular number (1037520 = T1440).

The spelling of 3303144 in words is "three million, three hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 3529 7058 10587 14116 21174 28232 31761 42348 45877 63522 84696 91754 127044 137631 183508 254088 275262 367016 412893 550524 825786 1101048 1651572 3303144