Search a number
-
+
441342018 = 2321312714851
BaseRepresentation
bin11010010011100…
…101100001000010
31010202110111102200
4122103211201002
51400440421033
6111443254030
713636226265
oct3223454102
91122414380
10441342018
11207142877
1210397a316
1370587c30
1442886cdc
1528b2d013
hex1a4e5842

441342018 has 48 divisors (see below), whose sum is σ = 1037976576. Its totient is φ = 134719200.

The previous prime is 441342017. The next prime is 441342043. The reversal of 441342018 is 810243144.

It is a junction number, because it is equal to n+sod(n) for n = 441341982 and 441342000.

It is not an unprimeable number, because it can be changed into a prime (441342017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22293 + ... + 37143.

It is an arithmetic number, because the mean of its divisors is an integer number (21624512).

Almost surely, 2441342018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441342018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518988288).

441342018 is an abundant number, since it is smaller than the sum of its proper divisors (596634558).

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

441342018 is a wasteful number, since it uses less digits than its factorization.

441342018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14999 (or 14996 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 441342018 is about 21008.1417074429. The cubic root of 441342018 is about 761.3629846779.

The spelling of 441342018 in words is "four hundred forty-one million, three hundred forty-two thousand, eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 127 234 254 381 762 1143 1651 2286 3302 4953 9906 14851 14859 29702 29718 44553 89106 133659 193063 267318 386126 579189 1158378 1737567 1886077 3475134 3772154 5658231 11316462 16974693 24519001 33949386 49038002 73557003 147114006 220671009 441342018