Search a number
-
+
441268236 = 223419431667
BaseRepresentation
bin11010010011010…
…011100000001100
31010202022202020000
4122103103200030
51400431040421
6111441524300
713635501213
oct3223234014
91122282200
10441268236
112070a23a2
12103943690
1370560486
144286807a
1528b16226
hex1a4d380c

441268236 has 120 divisors (see below), whose sum is σ = 1243260480. Its totient is φ = 136025568.

The previous prime is 441268207. The next prime is 441268237. The reversal of 441268236 is 632862144.

441268236 is a `hidden beast` number, since 4 + 412 + 6 + 8 + 236 = 666.

It is a super-2 number, since 2×4412682362 = 389435312205103392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 441268236.

It is not an unprimeable number, because it can be changed into a prime (441268237) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 263875 + ... + 265541.

It is an arithmetic number, because the mean of its divisors is an integer number (10360504).

Almost surely, 2441268236 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 441268236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621630240).

441268236 is an abundant number, since it is smaller than the sum of its proper divisors (801992244).

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

441268236 is a wasteful number, since it uses less digits than its factorization.

441268236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1734 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 441268236 is about 21006.3856005739. The cubic root of 441268236 is about 761.3205549884.

The spelling of 441268236 in words is "four hundred forty-one million, two hundred sixty-eight thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 43 54 57 76 81 86 108 114 129 162 171 172 228 258 324 342 387 513 516 684 774 817 1026 1161 1539 1548 1634 1667 2052 2322 2451 3078 3268 3334 3483 4644 4902 5001 6156 6668 6966 7353 9804 10002 13932 14706 15003 20004 22059 29412 30006 31673 44118 45009 60012 63346 66177 71681 88236 90018 95019 126692 132354 135027 143362 180036 190038 215043 264708 270054 285057 286724 380076 430086 540108 570114 645129 855171 860172 1140228 1290258 1361939 1710342 1935387 2565513 2580516 2723878 3420684 3870774 4085817 5131026 5447756 5806161 7741548 8171634 10262052 11612322 12257451 16343268 23224644 24514902 36772353 49029804 73544706 110317059 147089412 220634118 441268236