Search a number
-
+
3216064 = 26311621
BaseRepresentation
bin1100010001001011000000
320001101121111
430101023000
51310403224
6152533104
736223165
oct14211300
96041544
103216064
1118a7305
1210b1194
13887ac7
145da06c
15437d94
hex3112c0

3216064 has 28 divisors (see below), whose sum is σ = 6591808. Its totient is φ = 1555200.

The previous prime is 3216061. The next prime is 3216079. The reversal of 3216064 is 4606123.

3216064 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3216061) 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 in 3 ways as a sum of consecutive naturals, for example, 1174 + ... + 2794.

Almost surely, 23216064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295904).

3216064 is an abundant number, since it is smaller than the sum of its proper divisors (3375744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3216064 is a wasteful number, since it uses less digits than its factorization.

3216064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3216064 is about 1793.3387856175. The cubic root of 3216064 is about 147.6074329828.

The spelling of 3216064 in words is "three million, two hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1621 1984 3242 6484 12968 25936 50251 51872 100502 103744 201004 402008 804016 1608032 3216064