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441320340 = 223517231821
BaseRepresentation
bin11010010011100…
…000001110010100
31010202102101200210
4122103200032110
51400434222330
6111443005420
713636106136
oct3223401624
91122371623
10441320340
1120712855a
12103969870
137057b0c6
144287d056
1528b268b0
hex1a4e0394

441320340 has 144 divisors (see below), whose sum is σ = 1356655104. Its totient is φ = 107059200.

The previous prime is 441320339. The next prime is 441320359. The reversal of 441320340 is 43023144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537130 + ... + 537950.

It is an arithmetic number, because the mean of its divisors is an integer number (9421216).

Almost surely, 2441320340 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 441320340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678327552).

441320340 is an abundant number, since it is smaller than the sum of its proper divisors (915334764).

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

441320340 is a wasteful number, since it uses less digits than its factorization.

441320340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 879 counting only the distinct ones).

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

The square root of 441320340 is about 21007.6257582812. The cubic root of 441320340 is about 761.3505188378.

Adding to 441320340 its reverse (43023144), we get a palindrome (484343484).

It can be divided in two parts, 4413 and 20340, that added together give a triangular number (24753 = T222).

The spelling of 441320340 in words is "four hundred forty-one million, three hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 289 310 340 372 465 510 527 578 620 821 867 930 1020 1054 1156 1445 1581 1642 1734 1860 2108 2463 2635 2890 3162 3284 3468 4105 4335 4926 5270 5780 6324 7905 8210 8670 8959 9852 10540 12315 13957 15810 16420 17340 17918 24630 25451 26877 27914 31620 35836 41871 44795 49260 50902 53754 55828 69785 76353 83742 89590 101804 107508 127255 134385 139570 152706 167484 179180 209355 237269 254510 268770 279140 305412 381765 418710 432667 474538 509020 537540 711807 763530 837420 865334 949076 1186345 1298001 1423614 1527060 1730668 2163335 2372690 2596002 2847228 3559035 4326670 4745380 5192004 6490005 7118070 7355339 8653340 12980010 14236140 14710678 22066017 25960020 29421356 36776695 44132034 73553390 88264068 110330085 147106780 220660170 441320340