Search a number
-
+
441310112 = 25196173163
BaseRepresentation
bin11010010011011…
…101101110100000
31010202101212122222
4122103131232200
51400433410422
6111442450212
713636034255
oct3223355640
91122355588
10441310112
11207120901
12103963968
1370576559
144287942c
1528b23842
hex1a4ddba0

441310112 has 96 divisors (see below), whose sum is σ = 948064320. Its totient is φ = 201553920.

The previous prime is 441310109. The next prime is 441310217. The reversal of 441310112 is 211013144.

It is a happy number.

It is a super-2 number, since 2×4413101122 = 389509229906905088, which contains 22 as substring.

It is a plaindrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2707343 + ... + 2707505.

It is an arithmetic number, because the mean of its divisors is an integer number (9875670).

Almost surely, 2441310112 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 441310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474032160).

441310112 is an abundant number, since it is smaller than the sum of its proper divisors (506754208).

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

441310112 is a wasteful number, since it uses less digits than its factorization.

441310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 441310112 is about 21007.3823214602. The cubic root of 441310112 is about 761.3446371290.

Adding to 441310112 its reverse (211013144), we get a palindrome (652323256).

The spelling of 441310112 in words is "four hundred forty-one million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 61 73 76 122 146 152 163 244 292 304 326 488 584 608 652 976 1159 1168 1304 1387 1952 2318 2336 2608 2774 3097 4453 4636 5216 5548 6194 8906 9272 9943 11096 11899 12388 17812 18544 19886 22192 23798 24776 35624 37088 39772 44384 47596 49552 71248 79544 84607 95192 99104 142496 159088 169214 188917 190384 226081 318176 338428 377834 380768 452162 676856 725839 755668 904324 1353712 1451678 1511336 1808648 2707424 2903356 3022672 3617296 5806712 6045344 7234592 11613424 13790941 23226848 27581882 55163764 110327528 220655056 441310112