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441243024 = 243171373947
BaseRepresentation
bin11010010011001…
…101010110010000
31010202021110122020
4122103031112100
51400424234044
6111441211440
713635334545
oct3223152620
91122243566
10441243024
11207085462
12103930b80
1370551b61
144285cbcc
1528b0da19
hex1a4cd590

441243024 has 80 divisors (see below), whose sum is σ = 1216047168. Its totient is φ = 137383936.

The previous prime is 441242993. The next prime is 441243029. The reversal of 441243024 is 420342144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 441242985 and 441243003.

It is not an unprimeable number, because it can be changed into a prime (441243029) 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 15 ways as a sum of consecutive naturals, for example, 109819 + ... + 113765.

Almost surely, 2441243024 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 441243024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608023584).

441243024 is an abundant number, since it is smaller than the sum of its proper divisors (774804144).

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

441243024 is a wasteful number, since it uses less digits than its factorization.

441243024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 441243024 is about 21005.7854887648. The cubic root of 441243024 is about 761.3060552821.

Adding to 441243024 its reverse (420342144), we get a palindrome (861585168).

The spelling of 441243024 in words is "four hundred forty-one million, two hundred forty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 137 204 272 274 408 411 548 816 822 1096 1644 2192 2329 3288 3947 4658 6576 6987 7894 9316 11841 13974 15788 18632 23682 27948 31576 37264 47364 55896 63152 67099 94728 111792 134198 189456 201297 268396 402594 536792 540739 805188 1073584 1081478 1610376 1622217 2162956 3220752 3244434 4325912 6488868 8651824 9192563 12977736 18385126 25955472 27577689 36770252 55155378 73540504 110310756 147081008 220621512 441243024