Search a number
-
+
36780349 is a prime number
BaseRepresentation
bin1000110001001…
…1100100111101
32120012122011011
42030103210331
533403432344
63352155221
7624425224
oct214234475
976178134
1036780349
1119841691
1210398b11
13780a228
144c55cbb
153367d34
hex231393d

36780349 has 2 divisors, whose sum is σ = 36780350. Its totient is φ = 36780348.

The previous prime is 36780347. The next prime is 36780379. The reversal of 36780349 is 94308763.

36780349 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., 29354724 + 7425625 = 5418^2 + 2725^2 .

It is a cyclic number.

It is not a de Polignac number, because 36780349 - 21 = 36780347 is a prime.

Together with 36780347, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36780347) 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, 18390174 + 18390175.

It is an arithmetic number, because the mean of its divisors is an integer number (18390175).

Almost surely, 236780349 is an apocalyptic number.

It is an amenable number.

36780349 is a deficient number, since it is larger than the sum of its proper divisors (1).

36780349 is an equidigital number, since it uses as much as digits as its factorization.

36780349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 36780349 is about 6064.6804532473. The cubic root of 36780349 is about 332.5614833445.

The spelling of 36780349 in words is "thirty-six million, seven hundred eighty thousand, three hundred forty-nine".