Search a number
-
+
441004431 = 37434710391
BaseRepresentation
bin11010010010010…
…011000110001111
31010201211100100110
4122102103012033
51400344120211
6111432131103
713633322130
oct3222230617
91121740313
10441004431
11206a3217a
12103836a93
137049a38a
14427d9c87
1528ab2ea6
hex1a49318f

441004431 has 32 divisors (see below), whose sum is σ = 702332928. Its totient is φ = 240881760.

The previous prime is 441004423. The next prime is 441004433. The reversal of 441004431 is 134400144.

It is not a de Polignac number, because 441004431 - 23 = 441004423 is a prime.

It is a super-2 number, since 2×4410044312 = 388969816323267522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 441004398 and 441004407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441004433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37246 + ... + 47636.

It is an arithmetic number, because the mean of its divisors is an integer number (21947904).

Almost surely, 2441004431 is an apocalyptic number.

441004431 is a deficient number, since it is larger than the sum of its proper divisors (261328497).

441004431 is a wasteful number, since it uses less digits than its factorization.

441004431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10491.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 441004431 is about 21000.1054997350. The cubic root of 441004431 is about 761.1688103964.

Adding to 441004431 its reverse (134400144), we get a palindrome (575404575).

The spelling of 441004431 in words is "four hundred forty-one million, four thousand, four hundred thirty-one".

Divisors: 1 3 7 21 43 47 129 141 301 329 903 987 2021 6063 10391 14147 31173 42441 72737 218211 446813 488377 1340439 1465131 3127691 3418639 9383073 10255917 21000211 63000633 147001477 441004431