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3663216 = 243225439
BaseRepresentation
bin1101111110010101110000
320220002222200
431332111300
51414210331
6210303200
743064634
oct15762560
96802880
103663216
112082257
121287b00
139b34ab
146b4dc4
154c55e6
hex37e570

3663216 has 30 divisors (see below), whose sum is σ = 10252320. Its totient is φ = 1221024.

The previous prime is 3663203. The next prime is 3663217. The reversal of 3663216 is 6123663.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3663216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663217) by changing a digit.

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 in 5 ways as a sum of consecutive naturals, for example, 12576 + ... + 12863.

It is an arithmetic number, because the mean of its divisors is an integer number (341744).

Almost surely, 23663216 is an apocalyptic number.

3663216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3663216 is an abundant number, since it is smaller than the sum of its proper divisors (6589104).

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

3663216 is a wasteful number, since it uses less digits than its factorization.

3663216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25453 (or 25444 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 3663216 is about 1913.9529774788. The cubic root of 3663216 is about 154.1537790379.

Adding to 3663216 its reverse (6123663), we get a palindrome (9786879).

The spelling of 3663216 in words is "three million, six hundred sixty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 25439 50878 76317 101756 152634 203512 228951 305268 407024 457902 610536 915804 1221072 1831608 3663216