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434200041 = 33111461953
BaseRepresentation
bin11001111000010…
…101110111101001
31010021000122111000
4121320111313221
51342123400131
6111030225213
713521432222
oct3170256751
91107018430
10434200041
11203104a10
121014b5209
136bc57202
1441948249
15281bbce6
hex19e15de9

434200041 has 16 divisors (see below), whose sum is σ = 701737920. Its totient is φ = 263151360.

The previous prime is 434200007. The next prime is 434200061. The reversal of 434200041 is 140002434.

It is not a de Polignac number, because 434200041 - 29 = 434199529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 434199987 and 434200023.

It is not an unprimeable number, because it can be changed into a prime (434200061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730680 + ... + 731273.

It is an arithmetic number, because the mean of its divisors is an integer number (43858620).

Almost surely, 2434200041 is an apocalyptic number.

It is an amenable number.

434200041 is a deficient number, since it is larger than the sum of its proper divisors (267537879).

434200041 is a wasteful number, since it uses less digits than its factorization.

434200041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461973 (or 1461967 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 434200041 is about 20837.4672405261. The cubic root of 434200041 is about 757.2337344732.

Adding to 434200041 its reverse (140002434), we get a palindrome (574202475).

The spelling of 434200041 in words is "four hundred thirty-four million, two hundred thousand, forty-one".

Divisors: 1 3 9 11 27 33 99 297 1461953 4385859 13157577 16081483 39472731 48244449 144733347 434200041