Search a number
-
+
3242016 = 253211257
BaseRepresentation
bin1100010111100000100000
320002201012200
430113200200
51312221031
6153253200
736361641
oct14274040
96081180
103242016
111914858
121104200
1389686b
146056c8
154408e6
hex317820

3242016 has 36 divisors (see below), whose sum is σ = 9220302. Its totient is φ = 1080576.

The previous prime is 3242009. The next prime is 3242017. The reversal of 3242016 is 6102423.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2250000 + 992016 = 1500^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 3242016.

It is not an unprimeable number, because it can be changed into a prime (3242017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5341 + ... + 5916.

Almost surely, 23242016 is an apocalyptic number.

3242016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3242016 is an abundant number, since it is smaller than the sum of its proper divisors (5978286).

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

3242016 is a wasteful number, since it uses less digits than its factorization.

3242016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11273 (or 11262 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3242016 is about 1800.5599129160. The cubic root of 3242016 is about 148.0034087357.

Adding to 3242016 its reverse (6102423), we get a palindrome (9344439).

The spelling of 3242016 in words is "three million, two hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11257 22514 33771 45028 67542 90056 101313 135084 180112 202626 270168 360224 405252 540336 810504 1080672 1621008 3242016