Search a number
-
+
38080373 is a prime number
BaseRepresentation
bin1001000101000…
…0111101110101
32122122200110012
42101100331311
534222032443
63440110005
7641451332
oct221207565
978580405
1038080373
111a54a391
1210905305
137b73b86
1450b3989
153523118
hex2450f75

38080373 has 2 divisors, whose sum is σ = 38080374. Its totient is φ = 38080372.

The previous prime is 38080283. The next prime is 38080379. The reversal of 38080373 is 37308083.

38080373 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33849124 + 4231249 = 5818^2 + 2057^2 .

It is a cyclic number.

It is not a de Polignac number, because 38080373 - 218 = 37818229 is a prime.

It is a super-2 number, since 2×380803732 = 2900229615638258, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38080379) 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, 19040186 + 19040187.

It is an arithmetic number, because the mean of its divisors is an integer number (19040187).

Almost surely, 238080373 is an apocalyptic number.

It is an amenable number.

38080373 is a deficient number, since it is larger than the sum of its proper divisors (1).

38080373 is an equidigital number, since it uses as much as digits as its factorization.

38080373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 38080373 is about 6170.9296706412. The cubic root of 38080373 is about 336.4344018784.

The spelling of 38080373 in words is "thirty-eight million, eighty thousand, three hundred seventy-three".