Search a number
-
+
3332912 = 241129653
BaseRepresentation
bin1100101101101100110000
320021022220012
430231230300
51323123122
6155234052
740220642
oct14555460
96238805
103332912
111977080
121148928
138c904b
1462a892
1545c7e2
hex32db30

3332912 has 40 divisors (see below), whose sum is σ = 7298640. Its totient is φ = 1460480.

The previous prime is 3332897. The next prime is 3332921. The reversal of 3332912 is 2192333.

3332912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33329122 = 22216604799488, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4778 + ... + 5430.

It is an arithmetic number, because the mean of its divisors is an integer number (182466).

Almost surely, 23332912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3332912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649320).

3332912 is an abundant number, since it is smaller than the sum of its proper divisors (3965728).

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

3332912 is a wasteful number, since it uses less digits than its factorization.

3332912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 695 counting only the distinct ones).

The product of its digits is 972, while the sum is 23.

The square root of 3332912 is about 1825.6264678186. The cubic root of 3332912 is about 149.3738640694.

The spelling of 3332912 in words is "three million, three hundred thirty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 653 1276 1306 2552 2612 5104 5224 7183 10448 14366 18937 28732 37874 57464 75748 114928 151496 208307 302992 416614 833228 1666456 3332912