Search a number
-
+
381189337 is a prime number
BaseRepresentation
bin10110101110000…
…111110011011001
3222120021102110121
4112232013303121
51240041024322
6101454113241
712306025114
oct2656076331
9876242417
10381189337
11186198211
12a77ab821
1360c86629
14388a957b
15236e9ec7
hex16b87cd9

381189337 has 2 divisors, whose sum is σ = 381189338. Its totient is φ = 381189336.

The previous prime is 381189257. The next prime is 381189349. The reversal of 381189337 is 733981183.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 372451401 + 8737936 = 19299^2 + 2956^2 .

It is a cyclic number.

It is not a de Polignac number, because 381189337 - 27 = 381189209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 381189293 and 381189302.

It is not a weakly prime, because it can be changed into another prime (381189377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 190594668 + 190594669.

It is an arithmetic number, because the mean of its divisors is an integer number (190594669).

Almost surely, 2381189337 is an apocalyptic number.

It is an amenable number.

381189337 is a deficient number, since it is larger than the sum of its proper divisors (1).

381189337 is an equidigital number, since it uses as much as digits as its factorization.

381189337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108864, while the sum is 43.

The square root of 381189337 is about 19524.0707077187. The cubic root of 381189337 is about 725.0705199735.

The spelling of 381189337 in words is "three hundred eighty-one million, one hundred eighty-nine thousand, three hundred thirty-seven".