2378384 has 30 divisors (see below), whose sum is σ = 4834326. Its totient is φ = 1133440.

The previous prime is 2378371. The next prime is 2378399. The reversal of 2378384 is 4838732.

2378384 = 35³ + 36³ + ... + 57³.

It can be written as a sum of positive squares in only one way, i.e., 2166784 + 211600 = 1472^2 + 460^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8324 + ... + 8604.

2^2378384 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 2378384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417163).

2378384 is an abundant number, since it is smaller than the sum of its proper divisors (2455942).

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

2378384 is a wasteful number, since it uses less digits than its factorization.

2378384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 306 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 2378384 is about 1542.2010245101. The cubic root of 2378384 is about 133.4834198807.

The spelling of 2378384 in words is "two million, three hundred seventy-eight thousand, three hundred eighty-four".