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441441040 = 24517324589
BaseRepresentation
bin11010010011111…
…101101100010000
31010202122112021011
4122103331230100
51401002103130
6111445340304
713640121055
oct3223755420
91122575234
10441441040
11207200207
12103a07694
13705c1021
14428b102c
1528b4c52a
hex1a4fdb10

441441040 has 40 divisors (see below), whose sum is σ = 1086727320. Its totient is φ = 166189056.

The previous prime is 441441031. The next prime is 441441059. The reversal of 441441040 is 40144144.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 165482496 + 275958544 = 12864^2 + 16612^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160935 + ... + 163654.

It is an arithmetic number, because the mean of its divisors is an integer number (27168183).

Almost surely, 2441441040 is an apocalyptic number.

441441040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441441040 is an abundant number, since it is smaller than the sum of its proper divisors (645286280).

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

441441040 is a wasteful number, since it uses less digits than its factorization.

441441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324619 (or 324613 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 441441040 is about 21010.4983282168. The cubic root of 441441040 is about 761.4199216600.

Adding to 441441040 its reverse (40144144), we get a palindrome (481585184).

It can be divided in two parts, 4414 and 41040, that added together give a palindrome (45454).

The spelling of 441441040 in words is "four hundred forty-one million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 324589 649178 1298356 1622945 2596712 3245890 5193424 5518013 6491780 11036026 12983560 22072052 25967120 27590065 44144104 55180130 88288208 110360260 220720520 441441040