Search a number
-
+
33530341 = 1317173877
BaseRepresentation
bin111111111101…
…0000111100101
32100002111222111
41333322013211
532040432331
63154401021
7555001045
oct177720745
970074874
1033530341
1117a21929
12b290171
136c3cb50
14464b725
152e24db1
hex1ffa1e5

33530341 has 16 divisors (see below), whose sum is σ = 38498544. Its totient is φ = 28929024.

The previous prime is 33530327. The next prime is 33530347. The reversal of 33530341 is 14303533.

It can be written as a sum of positive squares in 8 ways, for example, as 4639716 + 28890625 = 2154^2 + 5375^2 .

It is a cyclic number.

It is not a de Polignac number, because 33530341 - 25 = 33530309 is a prime.

It is a super-2 number, since 2×335303412 = 2248567535152562, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33530347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37795 + ... + 38671.

It is an arithmetic number, because the mean of its divisors is an integer number (2406159).

Almost surely, 233530341 is an apocalyptic number.

It is an amenable number.

33530341 is a deficient number, since it is larger than the sum of its proper divisors (4968203).

33530341 is a wasteful number, since it uses less digits than its factorization.

33530341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080.

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 33530341 is about 5790.5389213786. The cubic root of 33530341 is about 322.4625792368.

Adding to 33530341 its reverse (14303533), we get a palindrome (47833874).

The spelling of 33530341 in words is "thirty-three million, five hundred thirty thousand, three hundred forty-one".

Divisors: 1 13 17 173 221 877 2249 2941 11401 14909 38233 151721 193817 1972373 2579257 33530341