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441311321 = 1123798573
BaseRepresentation
bin11010010011011…
…110000001011001
31010202101221022202
4122103132001121
51400433430241
6111442455545
713636040633
oct3223360131
91122357282
10441311321
11207121800
121039645b5
1370576c79
1442879a53
1528b23d9b
hex1a4de059

441311321 has 12 divisors (see below), whose sum is σ = 498192996. Its totient is φ = 390345120.

The previous prime is 441311317. The next prime is 441311333. The reversal of 441311321 is 123113144.

It can be written as a sum of positive squares in 2 ways, for example, as 236821321 + 204490000 = 15389^2 + 14300^2 .

It is not a de Polignac number, because 441311321 - 22 = 441311317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 441311293 and 441311302.

It is not an unprimeable number, because it can be changed into a prime (441311371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44810 + ... + 53763.

It is an arithmetic number, because the mean of its divisors is an integer number (41516083).

Almost surely, 2441311321 is an apocalyptic number.

It is an amenable number.

441311321 is a deficient number, since it is larger than the sum of its proper divisors (56881675).

441311321 is a wasteful number, since it uses less digits than its factorization.

441311321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98632 (or 98621 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 441311321 is about 21007.4110970391. The cubic root of 441311321 is about 761.3453323807.

Adding to 441311321 its reverse (123113144), we get a palindrome (564424465).

The spelling of 441311321 in words is "four hundred forty-one million, three hundred eleven thousand, three hundred twenty-one".

Divisors: 1 11 37 121 407 4477 98573 1084303 3647201 11927333 40119211 441311321