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444422331 = 32195349037
BaseRepresentation
bin11010011111010…
…101100010111011
31010222020222211100
4122133111202323
51402233003311
6112033302443
714004345633
oct3237254273
91128228740
10444422331
11208957091
12104a04a23
13710c5cc2
14430496c3
152903aa56
hex1a7d58bb

444422331 has 24 divisors (see below), whose sum is σ = 688493520. Its totient is φ = 275386176.

The previous prime is 444422327. The next prime is 444422371. The reversal of 444422331 is 133224444.

It is a happy number.

It is not a de Polignac number, because 444422331 - 22 = 444422327 is a prime.

It is a super-3 number, since 3×4444223313 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 444422295 and 444422304.

It is not an unprimeable number, because it can be changed into a prime (444422371) 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, 15456 + ... + 33581.

It is an arithmetic number, because the mean of its divisors is an integer number (28687230).

Almost surely, 2444422331 is an apocalyptic number.

444422331 is a deficient number, since it is larger than the sum of its proper divisors (244071189).

444422331 is a wasteful number, since it uses less digits than its factorization.

444422331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49115 (or 49112 counting only the distinct ones).

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

The square root of 444422331 is about 21081.3265948801. The cubic root of 444422331 is about 763.1301713716.

Adding to 444422331 its reverse (133224444), we get a palindrome (577646775).

The spelling of 444422331 in words is "four hundred forty-four million, four hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 19 53 57 159 171 477 1007 3021 9063 49037 147111 441333 931703 2598961 2795109 7796883 8385327 23390649 49380259 148140777 444422331