54346384 has 45 divisors (see below), whose sum is σ = 112287177. Its totient is φ = 25477632.

The previous prime is 54346373. The next prime is 54346387. The reversal of 54346384 is 48364345.

The square root of 54346384 is 7372.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24403600 + 29942784 = 4940^2 + 5472^2 .

It is a Duffinian number.

Its product of digits (138240) is a multiple of the sum of its prime factors (240).

It is not an unprimeable number, because it can be changed into a prime (54346387) 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 8 ways as a sum of consecutive naturals, for example, 560224 + ... + 560320.

Almost surely, 2^54346384 is an apocalyptic number.

54346384 is the 7372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54346384

54346384 is an abundant number, since it is smaller than the sum of its proper divisors (57940793).

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

54346384 is an equidigital number, since it uses as much as digits as its factorization.

54346384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 118 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

The cubic root of 54346384 is about 378.7827717652.

The spelling of 54346384 in words is "fifty-four million, three hundred forty-six thousand, three hundred eighty-four".