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3268384 = 25714591
BaseRepresentation
bin1100011101111100100000
320011001101021
430131330200
51314042014
6154015224
736531550
oct14357440
96131337
103268384
111932649
121117514
138a5872
14611160
15448624
hex31df20

3268384 has 24 divisors (see below), whose sum is σ = 7354368. Its totient is φ = 1400640.

The previous prime is 3268381. The next prime is 3268417. The reversal of 3268384 is 4838623.

3268384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3268381) 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, 7072 + ... + 7519.

It is an arithmetic number, because the mean of its divisors is an integer number (306432).

Almost surely, 23268384 is an apocalyptic number.

It is an amenable number.

3268384 is an abundant number, since it is smaller than the sum of its proper divisors (4085984).

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

3268384 is a wasteful number, since it uses less digits than its factorization.

3268384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14608 (or 14600 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 3268384 is about 1807.8672517638. The cubic root of 3268384 is about 148.4035734616.

The spelling of 3268384 in words is "three million, two hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 14591 29182 58364 102137 116728 204274 233456 408548 466912 817096 1634192 3268384