Search a number
-
+
440004024 = 23326111167
BaseRepresentation
bin11010001110011…
…110110110111000
31010122221112001100
4122032132312320
51400120112044
6111354451400
713621654365
oct3216366670
91118845040
10440004024
11206409599
12103433b60
1370209c15
144261946c
1528966869
hex1a39edb8

440004024 has 24 divisors (see below), whose sum is σ = 1191677760. Its totient is φ = 146667984.

The previous prime is 440004023. The next prime is 440004029. The reversal of 440004024 is 420400044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×4400040242 = 387207082272385152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 440003988 and 440004006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440004023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3055512 + ... + 3055655.

It is an arithmetic number, because the mean of its divisors is an integer number (49653240).

Almost surely, 2440004024 is an apocalyptic number.

It is an amenable number.

440004024 is an abundant number, since it is smaller than the sum of its proper divisors (751673736).

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

440004024 is a wasteful number, since it uses less digits than its factorization.

440004024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6111179 (or 6111172 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 440004024 is about 20976.2728815202. The cubic root of 440004024 is about 760.5928107938.

Adding to 440004024 its reverse (420400044), we get a palindrome (860404068).

The spelling of 440004024 in words is "four hundred forty million, four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6111167 12222334 18333501 24444668 36667002 48889336 55000503 73334004 110001006 146668008 220002012 440004024