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441134432 = 2561673373
BaseRepresentation
bin11010010010110…
…010110101100000
31010202001221200022
4122102302311200
51400412300212
6111435013012
713634403134
oct3222626540
91122057608
10441134432
11207010912
1210389a168
13705145bb
14428313c4
1528adb772
hex1a4b2d60

441134432 has 48 divisors (see below), whose sum is σ = 896161392. Its totient is φ = 213649920.

The previous prime is 441134429. The next prime is 441134437. The reversal of 441134432 is 234431144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441134437) 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, 129098 + ... + 132470.

It is an arithmetic number, because the mean of its divisors is an integer number (18670029).

Almost surely, 2441134432 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 441134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448080696).

441134432 is an abundant number, since it is smaller than the sum of its proper divisors (455026960).

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

441134432 is a wasteful number, since it uses less digits than its factorization.

441134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3503 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 441134432 is about 21003.2005180163. The cubic root of 441134432 is about 761.2435964816.

Adding to 441134432 its reverse (234431144), we get a palindrome (675565576).

The spelling of 441134432 in words is "four hundred forty-one million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 61 67 122 134 244 268 488 536 976 1072 1952 2144 3373 4087 6746 8174 13492 16348 26984 32696 53968 65392 107936 130784 205753 225991 411506 451982 823012 903964 1646024 1807928 3292048 3615856 6584096 7231712 13785451 27570902 55141804 110283608 220567216 441134432