• 384 can be written using four 4's:

384 has 16 divisors (see below), whose sum is σ = 1020. Its totient is φ = 128.

The previous prime is 383. The next prime is 389. The reversal of 384 is 483.

384 = 2^{2} + 3^{2} + ... + 10^{2}.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)^{4}.

It is a double factorial (384 = 8 !! = 2 ⋅ 4 ⋅ 6 ⋅ 8 ).

384 is digitally balanced in base 3, 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 (16).

It is an ABA number since it can be written as A⋅B^{A}, here for A=6, B=2.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 9 and base 13.

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 384 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127 + 128 + 129.

2^{384} 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 384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510).

384 is an abundant number, since it is smaller than the sum of its proper divisors (636).

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

384 is an equidigital number, since it uses as much as digits as its factorization.

384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17 (or 5 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 384 is about 19.5959179423. The cubic root of 384 is about 7.2684823713.

Multiplying 384 by its product of digits (96), we get a square (36864 = 192^{2}).

Subtracting 384 from its reverse (483), we obtain a palindrome (99).

It can be divided in two parts, 3 and 84, that multiplied together give a palindrome (252).

The spelling of 384 in words is "three hundred eighty-four", and thus it is an aban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.226 sec. • engine limits •