Search a number
-
+
3386208 = 25375039
BaseRepresentation
bin1100111010101101100000
320101001000010
430322231200
51331324313
6200324520
740532220
oct14725540
96331003
103386208
111a03121
121173740
13917397
14642080
1546d4c3
hex33ab60

3386208 has 48 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 967296.

The previous prime is 3386197. The next prime is 3386249. The reversal of 3386208 is 8026833.

3386208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33862082 = 22932809238528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1848 + ... + 3191.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 23386208 is an apocalyptic number.

It is an amenable number.

3386208 is an abundant number, since it is smaller than the sum of its proper divisors (6774432).

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

3386208 is a wasteful number, since it uses less digits than its factorization.

3386208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3386208 is about 1840.1652099744. The cubic root of 3386208 is about 150.1658609778.

The spelling of 3386208 in words is "three million, three hundred eighty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 5039 10078 15117 20156 30234 35273 40312 60468 70546 80624 105819 120936 141092 161248 211638 241872 282184 423276 483744 564368 846552 1128736 1693104 3386208