Search a number
-
+
3332368 = 241337433
BaseRepresentation
bin1100101101100100010000
320021022011001
430231210100
51323113433
6155231344
740216234
oct14554420
96238131
103332368
111976726
121148554
138c8a20
1462a5c4
1545c57d
hex32d910

3332368 has 40 divisors (see below), whose sum is σ = 7157528. Its totient is φ = 1492992.

The previous prime is 3332363. The next prime is 3332383. The reversal of 3332368 is 8632333.

It can be written as a sum of positive squares in 4 ways, for example, as 135424 + 3196944 = 368^2 + 1788^2 .

It is a super-2 number, since 2×33323682 = 22209352974848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7480 + ... + 7912.

Almost surely, 23332368 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 3332368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578764).

3332368 is an abundant number, since it is smaller than the sum of its proper divisors (3825160).

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

3332368 is a wasteful number, since it uses less digits than its factorization.

3332368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 485 counting only the distinct ones).

The product of its digits is 7776, while the sum is 28.

The square root of 3332368 is about 1825.4774717865. The cubic root of 3332368 is about 149.3657366617.

It can be divided in two parts, 333 and 2368, that multiplied together give a square (788544 = 8882).

The spelling of 3332368 in words is "three million, three hundred thirty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 433 481 592 866 962 1732 1924 3464 3848 5629 6928 7696 11258 16021 22516 32042 45032 64084 90064 128168 208273 256336 416546 833092 1666184 3332368