Search a number
-
+
33798341 is a prime number
BaseRepresentation
bin1000000011101…
…1100011000101
32100121010121102
42000323203011
532123021331
63204225445
7560165303
oct200734305
970533542
1033798341
1118095215
12b39b285
137004b25
1446bb273
152e794cb
hex203b8c5

33798341 has 2 divisors, whose sum is σ = 33798342. Its totient is φ = 33798340.

The previous prime is 33798313. The next prime is 33798361. The reversal of 33798341 is 14389733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26481316 + 7317025 = 5146^2 + 2705^2 .

It is an emirp because it is prime and its reverse (14389733) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33798341 is a prime.

It is a super-2 number, since 2×337983412 = 2284655708704562, which contains 22 as substring.

It is equal to p2077769 and since 33798341 and 2077769 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 33798295 and 33798304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33798361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16899170 + 16899171.

It is an arithmetic number, because the mean of its divisors is an integer number (16899171).

Almost surely, 233798341 is an apocalyptic number.

It is an amenable number.

33798341 is a deficient number, since it is larger than the sum of its proper divisors (1).

33798341 is an equidigital number, since it uses as much as digits as its factorization.

33798341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54432, while the sum is 38.

The square root of 33798341 is about 5813.6340614112. The cubic root of 33798341 is about 323.3194225307.

The spelling of 33798341 in words is "thirty-three million, seven hundred ninety-eight thousand, three hundred forty-one".