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441113310 = 233511197817
BaseRepresentation
bin11010010010101…
…101101011011110
31010202000212201000
4122102231223132
51400411111220
6111434331130
713634254431
oct3222555336
91122025630
10441113310
11206aa6a60
12103889aa6
1370507ac1
1442827818
1528ad5390
hex1a4adade

441113310 has 128 divisors (see below), whose sum is σ = 1350950400. Its totient is φ = 101295360.

The previous prime is 441113293. The next prime is 441113317. The reversal of 441113310 is 13311144.

It is a super-2 number, since 2×4411133102 = 389161904518312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441113317) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 52522 + ... + 60338.

It is an arithmetic number, because the mean of its divisors is an integer number (10554300).

Almost surely, 2441113310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441113310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675475200).

441113310 is an abundant number, since it is smaller than the sum of its proper divisors (909837090).

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

441113310 is a wasteful number, since it uses less digits than its factorization.

441113310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7863 (or 7857 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 441113310 is about 21002.6976838691. The cubic root of 441113310 is about 761.2314465618.

Adding to 441113310 its reverse (13311144), we get a palindrome (454424454).

The spelling of 441113310 in words is "four hundred forty-one million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 27 30 33 38 45 54 55 57 66 90 95 99 110 114 135 165 171 190 198 209 270 285 297 330 342 418 495 513 570 594 627 855 990 1026 1045 1254 1485 1710 1881 2090 2565 2970 3135 3762 5130 5643 6270 7817 9405 11286 15634 18810 23451 28215 39085 46902 56430 70353 78170 85987 117255 140706 148523 171974 211059 234510 257961 297046 351765 422118 429935 445569 515922 703530 742615 773883 859870 891138 1055295 1289805 1336707 1485230 1547766 1633753 2110590 2227845 2321649 2579610 2673414 3267506 3869415 4010121 4455690 4643298 4901259 6683535 7738830 8020242 8168765 9802518 11608245 13367070 14703777 16337530 20050605 23216490 24506295 29407554 40101210 44111331 49012590 73518885 88222662 147037770 220556655 441113310