Search a number
-
+
33436801 is a prime number
BaseRepresentation
bin111111110001…
…1010010000001
32022220202200001
41333203102001
532024434201
63152400001
7554131246
oct177432201
968822601
1033436801
1117968622
12b246001
136c093b8
1446255cd
152e07301
hex1fe3481

33436801 has 2 divisors, whose sum is σ = 33436802. Its totient is φ = 33436800.

The previous prime is 33436783. The next prime is 33436859. The reversal of 33436801 is 10863433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26419600 + 7017201 = 5140^2 + 2649^2 .

It is a cyclic number.

It is not a de Polignac number, because 33436801 - 219 = 32912513 is a prime.

It is a super-2 number, since 2×334368012 = 2236039322227202, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33436801.

It is not a weakly prime, because it can be changed into another prime (33436861) 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, 16718400 + 16718401.

It is an arithmetic number, because the mean of its divisors is an integer number (16718401).

Almost surely, 233436801 is an apocalyptic number.

It is an amenable number.

33436801 is a deficient number, since it is larger than the sum of its proper divisors (1).

33436801 is an equidigital number, since it uses as much as digits as its factorization.

33436801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 33436801 is about 5782.4563119837. The cubic root of 33436801 is about 322.1624407041.

The spelling of 33436801 in words is "thirty-three million, four hundred thirty-six thousand, eight hundred one".