Search a number
-
+
33949441 is a prime number
BaseRepresentation
bin1000000110000…
…0011100000001
32100212210212201
42001200130001
532142340231
63211353201
7561364651
oct201403401
970783781
1033949441
1118188799
12b452801
137058836
14471a361
152ea9161
hex2060701

33949441 has 2 divisors, whose sum is σ = 33949442. Its totient is φ = 33949440.

The previous prime is 33949417. The next prime is 33949457. The reversal of 33949441 is 14494933.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19395216 + 14554225 = 4404^2 + 3815^2 .

It is a cyclic number.

It is not a de Polignac number, because 33949441 - 211 = 33947393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33949441.

It is not a weakly prime, because it can be changed into another prime (33949141) 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, 16974720 + 16974721.

It is an arithmetic number, because the mean of its divisors is an integer number (16974721).

Almost surely, 233949441 is an apocalyptic number.

It is an amenable number.

33949441 is a deficient number, since it is larger than the sum of its proper divisors (1).

33949441 is an equidigital number, since it uses as much as digits as its factorization.

33949441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46656, while the sum is 37.

The square root of 33949441 is about 5826.6148834465. The cubic root of 33949441 is about 323.8005205319.

The spelling of 33949441 in words is "thirty-three million, nine hundred forty-nine thousand, four hundred forty-one".