Search a number
-
+
2378436241 is a prime number
BaseRepresentation
bin1000110111000100…
…0000111010010001
320010202110002011011
42031301000322101
514332334424431
61032002050521
7112640242306
oct21561007221
96122402134
102378436241
111010624395
12564649a41
132bb9a882c
14187c490ad
15ddc16cb1
hex8dc40e91

2378436241 has 2 divisors, whose sum is σ = 2378436242. Its totient is φ = 2378436240.

The previous prime is 2378436239. The next prime is 2378436271. The reversal of 2378436241 is 1426348732.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1399059216 + 979377025 = 37404^2 + 31295^2 .

It is a cyclic number.

It is not a de Polignac number, because 2378436241 - 21 = 2378436239 is a prime.

Together with 2378436239, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2378436194 and 2378436203.

It is not a weakly prime, because it can be changed into another prime (2378436271) 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 as a sum of consecutive naturals, namely, 1189218120 + 1189218121.

It is an arithmetic number, because the mean of its divisors is an integer number (1189218121).

Almost surely, 22378436241 is an apocalyptic number.

It is an amenable number.

2378436241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2378436241 is an equidigital number, since it uses as much as digits as its factorization.

2378436241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 193536, while the sum is 40.

The square root of 2378436241 is about 48769.2140699438. The cubic root of 2378436241 is about 1334.8439719083.

It can be divided in two parts, 23784 and 36241, that added together give a square (60025 = 2452).

The spelling of 2378436241 in words is "two billion, three hundred seventy-eight million, four hundred thirty-six thousand, two hundred forty-one".