Search a number
-
+
2382816337 = 11219692697
BaseRepresentation
bin1000111000000110…
…1110010001010001
320011001200121111221
42032001232101101
514340000110322
61032240005041
7113022414256
oct21601562121
96131617457
102382816337
111013046200
12566000781
132bc8803c5
1418866942d
15de2ce9c7
hex8e06e451

2382816337 has 6 divisors (see below), whose sum is σ = 2619128834. Its totient is φ = 2166196560.

The previous prime is 2382816329. The next prime is 2382816383. The reversal of 2382816337 is 7336182832.

It can be written as a sum of positive squares in only one way, i.e., 2364974161 + 17842176 = 48631^2 + 4224^2 .

It is not a de Polignac number, because 2382816337 - 23 = 2382816329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2382816293 and 2382816302.

It is not an unprimeable number, because it can be changed into a prime (2382816437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9846228 + ... + 9846469.

Almost surely, 22382816337 is an apocalyptic number.

It is an amenable number.

2382816337 is a deficient number, since it is larger than the sum of its proper divisors (236312497).

2382816337 is a wasteful number, since it uses less digits than its factorization.

2382816337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19692719 (or 19692708 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The square root of 2382816337 is about 48814.0997766014. The cubic root of 2382816337 is about 1335.6628796166.

The spelling of 2382816337 in words is "two billion, three hundred eighty-two million, eight hundred sixteen thousand, three hundred thirty-seven".

Divisors: 1 11 121 19692697 216619667 2382816337