Search a number
-
+
434124113 = 294153832
BaseRepresentation
bin11001111000000…
…011010101010001
31010020212210022212
4121320003111101
51342113432423
6111024441505
713520664653
oct3170032521
91106783285
10434124113
11203062965
12101479295
136bc2b797
14419286d3
15281a4578
hex19e03551

434124113 has 24 divisors (see below), whose sum is σ = 474442920. Its totient is φ = 396381440.

The previous prime is 434124083. The next prime is 434124127. The reversal of 434124113 is 311421434.

It can be written as a sum of positive squares in 4 ways, for example, as 23980609 + 410143504 = 4897^2 + 20252^2 .

It is not a de Polignac number, because 434124113 - 210 = 434123089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434124133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5230370 + ... + 5230452.

It is an arithmetic number, because the mean of its divisors is an integer number (19768455).

Almost surely, 2434124113 is an apocalyptic number.

It is an amenable number.

434124113 is a deficient number, since it is larger than the sum of its proper divisors (40318807).

434124113 is an equidigital number, since it uses as much as digits as its factorization.

434124113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 206 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 434124113 is about 20835.6452503876. The cubic root of 434124113 is about 757.1895930720.

Adding to 434124113 its reverse (311421434), we get a palindrome (745545547).

The spelling of 434124113 in words is "four hundred thirty-four million, one hundred twenty-four thousand, one hundred thirteen".

Divisors: 1 29 41 53 83 1189 1537 2173 2407 3403 4399 6889 63017 98687 127571 180359 199781 282449 365117 5230411 8191021 10588393 14969797 434124113