Search a number
-
+
3001306321 = 1331366093
BaseRepresentation
bin1011001011100100…
…0100110011010001
321202011111011021101
42302321010303101
522121313300241
61213452224401
7134242453126
oct26271046321
97664434241
103001306321
111300182952
126b916b101
1338aa51000
1420686674d
15128750e31
hexb2e44cd1

3001306321 has 8 divisors (see below), whose sum is σ = 3251303720. Its totient is φ = 2770434576.

The previous prime is 3001306247. The next prime is 3001306331. The reversal of 3001306321 is 1236031003.

It can be written as a sum of positive squares in 4 ways, for example, as 1218777921 + 1782528400 = 34911^2 + 42220^2 .

It is not a de Polignac number, because 3001306321 - 219 = 3000782033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3001306331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 680850 + ... + 685243.

It is an arithmetic number, because the mean of its divisors is an integer number (406412965).

Almost surely, 23001306321 is an apocalyptic number.

It is an amenable number.

3001306321 is a deficient number, since it is larger than the sum of its proper divisors (249997399).

3001306321 is an equidigital number, since it uses as much as digits as its factorization.

3001306321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366132 (or 1366106 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 3001306321 is about 54784.1794772907. The cubic root of 3001306321 is about 1442.4588778079.

Adding to 3001306321 its reverse (1236031003), we get a palindrome (4237337324).

The spelling of 3001306321 in words is "three billion, one million, three hundred six thousand, three hundred twenty-one".

Divisors: 1 13 169 2197 1366093 17759209 230869717 3001306321