Search a number
-
+
33796349 is a prime number
BaseRepresentation
bin1000000011101…
…1000011111101
32100121000212122
42000323003331
532122440344
63204212325
7560156426
oct200730375
970530778
1033796349
1118093774
12b39a0a5
137003c52
1446ba64d
152e78aee
hex203b0fd

33796349 has 2 divisors, whose sum is σ = 33796350. Its totient is φ = 33796348.

The previous prime is 33796331. The next prime is 33796363. The reversal of 33796349 is 94369733.

33796349 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., 26853124 + 6943225 = 5182^2 + 2635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33796349 is a prime.

It is a super-2 number, since 2×337963492 = 2284386411459602, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33796309) 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, 16898174 + 16898175.

It is an arithmetic number, because the mean of its divisors is an integer number (16898175).

Almost surely, 233796349 is an apocalyptic number.

It is an amenable number.

33796349 is a deficient number, since it is larger than the sum of its proper divisors (1).

33796349 is an equidigital number, since it uses as much as digits as its factorization.

33796349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 367416, while the sum is 44.

The square root of 33796349 is about 5813.4627374741. The cubic root of 33796349 is about 323.3130704936.

The spelling of 33796349 in words is "thirty-three million, seven hundred ninety-six thousand, three hundred forty-nine".