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3240064 = 27171489
BaseRepresentation
bin1100010111000010000000
320002121112101
430113002000
51312140224
6153240144
736353152
oct14270200
96077471
103240064
111913343
121103054
138959c9
14604ad2
15440044
hex317080

3240064 has 32 divisors (see below), whose sum is σ = 6839100. Its totient is φ = 1523712.

The previous prime is 3240043. The next prime is 3240073. The reversal of 3240064 is 4600423.

3240064 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 3240000 + 64 = 1800^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

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, 1432 + ... + 2920.

Almost surely, 23240064 is an apocalyptic number.

3240064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419550).

3240064 is an abundant number, since it is smaller than the sum of its proper divisors (3599036).

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

3240064 is a wasteful number, since it uses less digits than its factorization.

3240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3240064 is about 1800.0177776900. The cubic root of 3240064 is about 147.9736987594.

Adding to 3240064 its reverse (4600423), we get a palindrome (7840487).

It can be divided in two parts, 32400 and 64, that multiplied together give a square (2073600 = 14402).

The spelling of 3240064 in words is "three million, two hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 1489 2176 2978 5956 11912 23824 25313 47648 50626 95296 101252 190592 202504 405008 810016 1620032 3240064