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2434414041 = 33229393727
BaseRepresentation
bin1001000100011010…
…0011010111011001
320021122210001021000
42101012203113121
514441202222131
61041321535213
7114220115013
oct22106432731
96248701230
102434414041
11103a188334
1257b344509
132ca477aa7
1419145b1b3
15e3ac2ce6
hex911a35d9

2434414041 has 16 divisors (see below), whose sum is σ = 3622297600. Its totient is φ = 1615851504.

The previous prime is 2434414013. The next prime is 2434414051. The reversal of 2434414041 is 1404144342.

2434414041 is a `hidden beast` number, since 243 + 4 + 414 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 2434414041 - 213 = 2434405849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2434413996 and 2434414014.

It is not an unprimeable number, because it can be changed into a prime (2434414051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190681 + ... + 203046.

It is an arithmetic number, because the mean of its divisors is an integer number (226393600).

Almost surely, 22434414041 is an apocalyptic number.

It is an amenable number.

2434414041 is a deficient number, since it is larger than the sum of its proper divisors (1187883559).

2434414041 is a wasteful number, since it uses less digits than its factorization.

2434414041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393965 (or 393959 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2434414041 is about 49339.7815256614. The cubic root of 2434414041 is about 1345.2349687840.

Adding to 2434414041 its reverse (1404144342), we get a palindrome (3838558383).

The spelling of 2434414041 in words is "two billion, four hundred thirty-four million, four hundred fourteen thousand, forty-one".

Divisors: 1 3 9 27 229 687 2061 6183 393727 1181181 3543543 10630629 90163483 270490449 811471347 2434414041