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3332268 = 2232151613
BaseRepresentation
bin1100101101100010101100
320021022000100
430231202230
51323113033
6155231100
740216032
oct14554254
96238010
103332268
111976645
121148490
138c8974
1462a552
1545c513
hex32d8ac

3332268 has 36 divisors (see below), whose sum is σ = 8492848. Its totient is φ = 1101600.

The previous prime is 3332267. The next prime is 3332279. The reversal of 3332268 is 8622333.

3332268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33322682 = 22208020047648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3332267) 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, 5130 + ... + 5742.

Almost surely, 23332268 is an apocalyptic number.

It is an amenable number.

3332268 is an abundant number, since it is smaller than the sum of its proper divisors (5160580).

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

3332268 is a wasteful number, since it uses less digits than its factorization.

3332268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 769 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3332268 is about 1825.4500814868. The cubic root of 3332268 is about 149.3642425567.

It can be divided in two parts, 3332 and 268, that added together give a square (3600 = 602).

The spelling of 3332268 in words is "three million, three hundred thirty-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 151 302 453 604 613 906 1226 1359 1812 1839 2452 2718 3678 5436 5517 7356 11034 22068 92563 185126 277689 370252 555378 833067 1110756 1666134 3332268