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40384 = 26631
BaseRepresentation
bin1001110111000000
32001101201
421313000
52243014
6510544
7225511
oct116700
961351
1040384
1128383
121b454
13154c6
1410a08
15be74
hex9dc0

40384 has 14 divisors (see below), whose sum is σ = 80264. Its totient is φ = 20160.

The previous prime is 40361. The next prime is 40387. The reversal of 40384 is 48304.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40387) by changing a digit.

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 as a sum of consecutive naturals, namely, 252 + ... + 379.

240384 is an apocalyptic number.

It is an amenable number.

40384 is a deficient number, since it is larger than the sum of its proper divisors (39880).

40384 is an equidigital number, since it uses as much as digits as its factorization.

40384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 40384 is about 200.9577069933. The cubic root of 40384 is about 34.3086090469.

Subtracting from 40384 its product of nonzero digits (384), we obtain a square (40000 = 2002).

Adding to 40384 its reverse (48304), we get a palindrome (88688).

It can be divided in two parts, 40 and 384, that added together give a palindrome (424).

The spelling of 40384 in words is "forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 631 1262 2524 5048 10096 20192 40384