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440133420 = 2235103229311
BaseRepresentation
bin11010001110111…
…110011100101100
31010200012002112210
4122032332130230
51400133232140
6111401330420
713623033546
oct3216763454
91120162483
10440133420
11206497831
12103496a10
1370253a9c
1442650696
152898ed80
hex1a3be72c

440133420 has 96 divisors (see below), whose sum is σ = 1253790720. Its totient is φ = 115349760.

The previous prime is 440133403. The next prime is 440133431. The reversal of 440133420 is 24331044.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1415065 + ... + 1415375.

It is an arithmetic number, because the mean of its divisors is an integer number (13060320).

Almost surely, 2440133420 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 440133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626895360).

440133420 is an abundant number, since it is smaller than the sum of its proper divisors (813657300).

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

440133420 is a wasteful number, since it uses less digits than its factorization.

440133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 440133420 is about 20979.3569968195. The cubic root of 440133420 is about 760.6673616434.

Adding to 440133420 its reverse (24331044), we get a palindrome (464464464).

The spelling of 440133420 in words is "four hundred forty million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 229 309 311 412 458 515 618 622 687 916 933 1030 1145 1236 1244 1374 1545 1555 1866 2060 2290 2748 3090 3110 3435 3732 4580 4665 6180 6220 6870 9330 13740 18660 23587 32033 47174 64066 70761 71219 94348 96099 117935 128132 141522 142438 160165 192198 213657 235870 283044 284876 320330 353805 356095 384396 427314 471740 480495 640660 707610 712190 854628 960990 1068285 1415220 1424380 1921980 2136570 4273140 7335557 14671114 22006671 29342228 36677785 44013342 73355570 88026684 110033355 146711140 220066710 440133420