Search a number
-
+
33949841 is a prime number
BaseRepresentation
bin1000000110000…
…0100010010001
32100212211102112
42001200202101
532142343331
63211355105
7561366062
oct201404221
970784375
1033949841
1118189022
12b452a95
137058a83
14471a569
152ea932b
hex2060891

33949841 has 2 divisors, whose sum is σ = 33949842. Its totient is φ = 33949840.

The previous prime is 33949819. The next prime is 33949849. The reversal of 33949841 is 14894933.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25969216 + 7980625 = 5096^2 + 2825^2 .

It is a cyclic number.

It is not a de Polignac number, because 33949841 - 218 = 33687697 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33949849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16974920 + 16974921.

It is an arithmetic number, because the mean of its divisors is an integer number (16974921).

Almost surely, 233949841 is an apocalyptic number.

It is an amenable number.

33949841 is a deficient number, since it is larger than the sum of its proper divisors (1).

33949841 is an equidigital number, since it uses as much as digits as its factorization.

33949841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 93312, while the sum is 41.

The square root of 33949841 is about 5826.6492085932. The cubic root of 33949841 is about 323.8017922239.

The spelling of 33949841 in words is "thirty-three million, nine hundred forty-nine thousand, eight hundred forty-one".