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2004301241 = 17192326593
BaseRepresentation
bin111011101110111…
…0011010110111001
312011200110001102022
41313131303112321
513101100114431
6530515044225
7100445164565
oct16735632671
95150401368
102004301241
11939415208
1247b2a0675
1325c322087
141502986a5
15bae6207b
hex777735b9

2004301241 has 12 divisors (see below), whose sum is σ = 2239781652. Its totient is φ = 1787111424.

The previous prime is 2004301223. The next prime is 2004301291. The reversal of 2004301241 is 1421034002.

It can be written as a sum of positive squares in 2 ways, for example, as 1761564841 + 242736400 = 41971^2 + 15580^2 .

It is not a de Polignac number, because 2004301241 - 26 = 2004301177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2004301291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157160 + ... + 169433.

It is an arithmetic number, because the mean of its divisors is an integer number (186648471).

Almost surely, 22004301241 is an apocalyptic number.

It is an amenable number.

2004301241 is a deficient number, since it is larger than the sum of its proper divisors (235480411).

2004301241 is a wasteful number, since it uses less digits than its factorization.

2004301241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326648 (or 326629 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2004301241 is about 44769.4230586011. The cubic root of 2004301241 is about 1260.8236071971.

Adding to 2004301241 its reverse (1421034002), we get a palindrome (3425335243).

The spelling of 2004301241 in words is "two billion, four million, three hundred one thousand, two hundred forty-one".

Divisors: 1 17 19 323 361 6137 326593 5552081 6205267 105489539 117900073 2004301241