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434312241 = 31119236457
BaseRepresentation
bin11001111000110…
…001010000110001
31010021020100101120
4121320301100301
51342140442431
6111032452453
713522410306
oct3170612061
91107210346
10434312241
11203181240
1210154a129
136bc962bc
14419770ad
15281e0196
hex19e31431

434312241 has 24 divisors (see below), whose sum is σ = 666743904. Its totient is φ = 249359040.

The previous prime is 434312213. The next prime is 434312287. The reversal of 434312241 is 142213434.

It is not a de Polignac number, because 434312241 - 217 = 434181169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (434310241) 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, 6316 + ... + 30141.

It is an arithmetic number, because the mean of its divisors is an integer number (27780996).

Almost surely, 2434312241 is an apocalyptic number.

It is an amenable number.

434312241 is a deficient number, since it is larger than the sum of its proper divisors (232431663).

434312241 is a wasteful number, since it uses less digits than its factorization.

434312241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36509 (or 36490 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 434312241 is about 20840.1593324043. The cubic root of 434312241 is about 757.2989534966.

Adding to 434312241 its reverse (142213434), we get a palindrome (576525675).

The spelling of 434312241 in words is "four hundred thirty-four million, three hundred twelve thousand, two hundred forty-one".

Divisors: 1 3 11 19 33 57 209 361 627 1083 3971 11913 36457 109371 401027 692683 1203081 2078049 7619513 13160977 22858539 39482931 144770747 434312241