Search a number
-
+
444224331 = 3417378719
BaseRepresentation
bin11010011110100…
…101001101001011
31010221212221020000
4122132211031023
51402210134311
6112025134043
714002562445
oct3236451513
91127787200
10444224331
11208831351
1210492a323
1371056b45
1442dd7495
1528eec056
hex1a7a534b

444224331 has 40 divisors (see below), whose sum is σ = 721702080. Its totient is φ = 271164672.

The previous prime is 444224329. The next prime is 444224353. The reversal of 444224331 is 133422444.

It is a happy number.

It is not a de Polignac number, because 444224331 - 21 = 444224329 is a prime.

It is a super-2 number, since 2×4442243312 = 394670512504795122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 444224295 and 444224304.

It is not an unprimeable number, because it can be changed into a prime (444224371) 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, 46590 + ... + 55308.

It is an arithmetic number, because the mean of its divisors is an integer number (18042552).

Almost surely, 2444224331 is an apocalyptic number.

444224331 is a deficient number, since it is larger than the sum of its proper divisors (277477749).

444224331 is a wasteful number, since it uses less digits than its factorization.

444224331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8785 (or 8776 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 444224331 is about 21076.6299725549. The cubic root of 444224331 is about 763.0168240678.

Adding to 444224331 its reverse (133422444), we get a palindrome (577646775).

The spelling of 444224331 in words is "four hundred forty-four million, two hundred twenty-four thousand, three hundred thirty-one".

Divisors: 1 3 9 17 27 37 51 81 111 153 333 459 629 999 1377 1887 2997 5661 8719 16983 26157 50949 78471 148223 235413 322603 444669 706239 967809 1334007 2903427 4002021 5484251 8710281 12006063 16452753 26130843 49358259 148074777 444224331