Search a number
-
+
33480329 is a prime number
BaseRepresentation
bin111111110110…
…1111010001001
32022222222101012
41333231322021
532032332304
63153333305
7554402201
oct177557211
968888335
1033480329
11179982a3
12b267235
136c2315c
144637401
152e1516e
hex1fede89

33480329 has 2 divisors, whose sum is σ = 33480330. Its totient is φ = 33480328.

The previous prime is 33480283. The next prime is 33480397. The reversal of 33480329 is 92308433.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26988025 + 6492304 = 5195^2 + 2548^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33480329 is a prime.

It is a super-2 number, since 2×334803292 = 2241864859896482, which contains 22 as substring.

It is equal to p2059448 and since 33480329 and 2059448 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 = 33480295 and 33480304.

It is not a weakly prime, because it can be changed into another prime (33480829) 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 as a sum of consecutive naturals, namely, 16740164 + 16740165.

It is an arithmetic number, because the mean of its divisors is an integer number (16740165).

Almost surely, 233480329 is an apocalyptic number.

It is an amenable number.

33480329 is a deficient number, since it is larger than the sum of its proper divisors (1).

33480329 is an equidigital number, since it uses as much as digits as its factorization.

33480329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 33480329 is about 5786.2188862849. The cubic root of 33480329 is about 322.3021770187.

The spelling of 33480329 in words is "thirty-three million, four hundred eighty thousand, three hundred twenty-nine".