Search a number
-
+
2004304301 = 1726935309
BaseRepresentation
bin111011101110111…
…0100000110101101
312011200110012121122
41313131310012231
513101100214201
6530515110325
7100445206526
oct16735640655
95150405548
102004304301
1193941753a
1247b2a23a5
1325c32359c
1415029984d
15bae62e1b
hex777741ad

2004304301 has 6 divisors (see below), whose sum is σ = 2129140170. Its totient is φ = 1886403776.

The previous prime is 2004304277. The next prime is 2004304333. The reversal of 2004304301 is 1034034002.

It can be written as a sum of positive squares in 3 ways, for example, as 978063076 + 1026241225 = 31274^2 + 32035^2 .

It is not a de Polignac number, because 2004304301 - 210 = 2004303277 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 a self number, because there is not a number n which added to its sum of digits gives 2004304301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004304381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3467366 + ... + 3467943.

It is an arithmetic number, because the mean of its divisors is an integer number (354856695).

Almost surely, 22004304301 is an apocalyptic number.

It is an amenable number.

2004304301 is a deficient number, since it is larger than the sum of its proper divisors (124835869).

2004304301 is an equidigital number, since it uses as much as digits as its factorization.

2004304301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935343 (or 6935326 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2004304301 is about 44769.4572336990. The cubic root of 2004304301 is about 1260.8242488369.

Adding to 2004304301 its reverse (1034034002), we get a palindrome (3038338303).

The spelling of 2004304301 in words is "two billion, four million, three hundred four thousand, three hundred one".

Divisors: 1 17 289 6935309 117900253 2004304301