Search a number
-
+
3332032 = 26114733
BaseRepresentation
bin1100101101011111000000
320021021200121
430231133000
51323111112
6155230024
740215244
oct14553700
96237617
103332032
111976450
121148314
138c8822
1462a424
1545c407
hex32d7c0

3332032 has 28 divisors (see below), whose sum is σ = 7214616. Its totient is φ = 1514240.

The previous prime is 3331997. The next prime is 3332039. The reversal of 3332032 is 2302333.

It is a happy number.

3332032 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 2×33320322 = 22204874498048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3331997 and 3332015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332039) 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 3 ways as a sum of consecutive naturals, for example, 1663 + ... + 3070.

Almost surely, 23332032 is an apocalyptic number.

3332032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3332032 is an abundant number, since it is smaller than the sum of its proper divisors (3882584).

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

3332032 is a wasteful number, since it uses less digits than its factorization.

3332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

The square root of 3332032 is about 1825.3854387499. The cubic root of 3332032 is about 149.3607163504.

Adding to 3332032 its reverse (2302333), we get a palindrome (5634365).

The spelling of 3332032 in words is "three million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 4733 9466 18932 37864 52063 75728 104126 151456 208252 302912 416504 833008 1666016 3332032