Search a number
-
+
40743361 is a prime number
BaseRepresentation
bin1001101101101…
…1000111000001
32211122222101101
42123123013001
540412241421
64013134401
71003212211
oct233330701
984588341
1040743361
1120aa90aa
121178a401
138596cc9
1455a8241
15389c191
hex26db1c1

40743361 has 2 divisors, whose sum is σ = 40743362. Its totient is φ = 40743360.

The previous prime is 40743359. The next prime is 40743371. The reversal of 40743361 is 16334704.

40743361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40246336 + 497025 = 6344^2 + 705^2 .

It is a cyclic number.

It is not a de Polignac number, because 40743361 - 21 = 40743359 is a prime.

Together with 40743359, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p2476135 and since 40743361 and 2476135 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (40743301) 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, 20371680 + 20371681.

It is an arithmetic number, because the mean of its divisors is an integer number (20371681).

Almost surely, 240743361 is an apocalyptic number.

It is an amenable number.

40743361 is a deficient number, since it is larger than the sum of its proper divisors (1).

40743361 is an equidigital number, since it uses as much as digits as its factorization.

40743361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 40743361 is about 6383.0526396075. The cubic root of 40743361 is about 344.1007485012.

The spelling of 40743361 in words is "forty million, seven hundred forty-three thousand, three hundred sixty-one".