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441343120 = 24517324517
BaseRepresentation
bin11010010011100…
…101110010010000
31010202110112221111
4122103211302100
51400440434440
6111443303104
713636232431
oct3223456220
91122415844
10441343120
11207143689
1210397aa94
137058859a
1442887488
1528b2d4ea
hex1a4e5c90

441343120 has 40 divisors (see below), whose sum is σ = 1086486264. Its totient is φ = 166152192.

The previous prime is 441343093. The next prime is 441343139. The reversal of 441343120 is 21343144.

It can be written as a sum of positive squares in 4 ways, for example, as 10863616 + 430479504 = 3296^2 + 20748^2 .

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

It is a super-3 number, since 3×4413431203 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 441343091 and 441343100.

It is an unprimeable number.

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, 160899 + ... + 163618.

Almost surely, 2441343120 is an apocalyptic number.

441343120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441343120 is an abundant number, since it is smaller than the sum of its proper divisors (645143144).

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

441343120 is a wasteful number, since it uses less digits than its factorization.

441343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324547 (or 324541 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 441343120 is about 21008.1679353531. The cubic root of 441343120 is about 761.3636183673.

Adding to 441343120 its reverse (21343144), we get a palindrome (462686264).

The spelling of 441343120 in words is "four hundred forty-one million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 324517 649034 1298068 1622585 2596136 3245170 5192272 5516789 6490340 11033578 12980680 22067156 25961360 27583945 44134312 55167890 88268624 110335780 220671560 441343120