10384144 has 20 divisors (see below), whose sum is σ = 21303324. Its totient is φ = 4886528.

The previous prime is 10384139. The next prime is 10384147. The reversal of 10384144 is 44148301.

It can be written as a sum of positive squares in 2 ways, for example, as 3686400 + 6697744 = 1920^2 + 2588^2 .

It is a super-2 number, since 2×10384144² = 215660893225472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10384147) 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, 18817 + ... + 19360.

Almost surely, 2^10384144 is an apocalyptic number.

It is an amenable number.

10384144 is an abundant number, since it is smaller than the sum of its proper divisors (10919180).

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

10384144 is a wasteful number, since it uses less digits than its factorization.

10384144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38202 (or 38196 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 10384144 is about 3222.4437931483. The cubic root of 10384144 is about 218.1675898971.

The spelling of 10384144 in words is "ten million, three hundred eighty-four thousand, one hundred forty-four".