Search a number
-
+
3308208 = 243413
BaseRepresentation
bin1100100111101010110000
320020002000020
430213222300
51321330313
6154523440
740055631
oct14475260
96202006
103308208
11195a562
121136580
138baa27
14621888
15455323
hex327ab0

3308208 has 40 divisors (see below), whose sum is σ = 8759856. Its totient is φ = 1075840.

The previous prime is 3308203. The next prime is 3308209. The reversal of 3308208 is 8028033.

3308208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3308203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80668 + ... + 80708.

Almost surely, 23308208 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 3308208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379928).

3308208 is an abundant number, since it is smaller than the sum of its proper divisors (5451648).

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

3308208 is an frugal number, since it uses more digits than its factorization.

3308208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3308208 is about 1818.8479870511. The cubic root of 3308208 is about 149.0038886122.

The spelling of 3308208 in words is "three million, three hundred eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1681 1968 3362 5043 6724 10086 13448 20172 26896 40344 68921 80688 137842 206763 275684 413526 551368 827052 1102736 1654104 3308208