Search a number
-
+
33144064 = 28129469
BaseRepresentation
bin111111001101…
…1110100000000
32022100220002221
41332123310000
531441102224
63142220424
7551501632
oct176336400
968326087
1033144064
1117788698
12b124714
136b36095
14458aa52
152d9a6e4
hex1f9bd00

33144064 has 18 divisors (see below), whose sum is σ = 66159170. Its totient is φ = 16571904.

The previous prime is 33144019. The next prime is 33144073. The reversal of 33144064 is 46044133.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 21529600 + 11614464 = 4640^2 + 3408^2 .

It is a congruent number.

It is an unprimeable number.

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, 64479 + ... + 64990.

Almost surely, 233144064 is an apocalyptic number.

It is an amenable number.

33144064 is a deficient number, since it is larger than the sum of its proper divisors (33015106).

33144064 is an equidigital number, since it uses as much as digits as its factorization.

33144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129485 (or 129471 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 33144064 is about 5757.0881528773. The cubic root of 33144064 is about 321.2195132237.

Adding to 33144064 its reverse (46044133), we get a palindrome (79188197).

The spelling of 33144064 in words is "thirty-three million, one hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 129469 258938 517876 1035752 2071504 4143008 8286016 16572032 33144064