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441442344 = 233797103263
BaseRepresentation
bin11010010011111…
…110000000101000
31010202122121001110
4122103332000220
51401002123334
6111445350320
713640124630
oct3223760050
91122577043
10441442344
11207201192
12103a083a0
13705c17b5
14428b16c0
1528b4cae9
hex1a4fe028

441442344 has 128 divisors (see below), whose sum is σ = 1291530240. Its totient is φ = 123144192.

The previous prime is 441442327. The next prime is 441442369. The reversal of 441442344 is 443244144.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 1678357 + ... + 1678619.

It is an arithmetic number, because the mean of its divisors is an integer number (10090080).

Almost surely, 2441442344 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 441442344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645765120).

441442344 is an abundant number, since it is smaller than the sum of its proper divisors (850087896).

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

441442344 is a wasteful number, since it uses less digits than its factorization.

441442344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 475 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 441442344 is about 21010.5293602993. The cubic root of 441442344 is about 761.4206713944.

Adding to 441442344 its reverse (443244144), we get a palindrome (884686488).

The spelling of 441442344 in words is "four hundred forty-one million, four hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 103 168 194 206 263 291 309 388 412 526 582 618 679 721 776 789 824 1052 1164 1236 1358 1442 1578 1841 2037 2104 2163 2328 2472 2716 2884 3156 3682 4074 4326 5432 5523 5768 6312 7364 8148 8652 9991 11046 14728 16296 17304 19982 22092 25511 27089 29973 39964 44184 51022 54178 59946 69937 76533 79928 81267 102044 108356 119892 139874 153066 162534 178577 189623 204088 209811 216712 239784 279748 306132 325068 357154 379246 419622 535731 559496 568869 612264 650136 714308 758492 839244 1071462 1137738 1428616 1516984 1678488 2142924 2275476 2627633 4285848 4550952 5255266 7882899 10510532 15765798 18393431 21021064 31531596 36786862 55180293 63063192 73573724 110360586 147147448 220721172 441442344