Search a number
-
+
40344509 is a prime number
BaseRepresentation
bin1001100111100…
…1101110111101
32210220201021002
42121321232331
540312011014
64000420045
7666631322
oct231715675
983821232
1040344509
1120856477
1211617625
1384875ba
145502b49
15381ddde
hex2679bbd

40344509 has 2 divisors, whose sum is σ = 40344510. Its totient is φ = 40344508.

The previous prime is 40344443. The next prime is 40344511. The reversal of 40344509 is 90544304.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39413284 + 931225 = 6278^2 + 965^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40344509 is a prime.

It is a Sophie Germain prime.

Together with 40344511, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is equal to p2453375 and since 40344509 and 2453375 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40344559) 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, 20172254 + 20172255.

It is an arithmetic number, because the mean of its divisors is an integer number (20172255).

Almost surely, 240344509 is an apocalyptic number.

It is an amenable number.

40344509 is a deficient number, since it is larger than the sum of its proper divisors (1).

40344509 is an equidigital number, since it uses as much as digits as its factorization.

40344509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 40344509 is about 6351.7327557132. The cubic root of 40344509 is about 342.9742208212.

The spelling of 40344509 in words is "forty million, three hundred forty-four thousand, five hundred nine".