Search a number
-
+
440044240 = 2456190173
BaseRepresentation
bin11010001110101…
…000101011010000
31010200000120012211
4122032220223100
51400122403430
6111355401504
713622212546
oct3216505320
91120016184
10440044240
11206436829
12103453294
137022230c
1442629d96
152897372a
hex1a3a8ad0

440044240 has 40 divisors (see below), whose sum is σ = 1039886568. Its totient is φ = 173130240.

The previous prime is 440044193. The next prime is 440044249. The reversal of 440044240 is 42440044.

It can be written as a sum of positive squares in 4 ways, for example, as 35712576 + 404331664 = 5976^2 + 20108^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440044249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40207 + ... + 49966.

Almost surely, 2440044240 is an apocalyptic number.

440044240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440044240 is an abundant number, since it is smaller than the sum of its proper divisors (599842328).

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

440044240 is a wasteful number, since it uses less digits than its factorization.

440044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90247 (or 90241 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 440044240 is about 20977.2314665210. The cubic root of 440044240 is about 760.6159826036.

Adding to 440044240 its reverse (42440044), we get a palindrome (482484284).

The spelling of 440044240 in words is "four hundred forty million, forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 90173 180346 360692 450865 721384 901730 1442768 1803460 3606920 5500553 7213840 11001106 22002212 27502765 44004424 55005530 88008848 110011060 220022120 440044240