Search a number
-
+
3288168 = 2333131171
BaseRepresentation
bin1100100010110001101000
320012001112000
430202301220
51320210133
6154251000
736643332
oct14426150
96161460
103288168
1119464a4
121126a60
138b1880
14618452
1544e413
hex322c68

3288168 has 64 divisors (see below), whose sum is σ = 9844800. Its totient is φ = 1010880.

The previous prime is 3288163. The next prime is 3288169. The reversal of 3288168 is 8618823.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (3288163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2223 + ... + 3393.

It is an arithmetic number, because the mean of its divisors is an integer number (153825).

Almost surely, 23288168 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 3288168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922400).

3288168 is an abundant number, since it is smaller than the sum of its proper divisors (6556632).

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

3288168 is a wasteful number, since it uses less digits than its factorization.

3288168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1189 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 3288168 is about 1813.3306372529. The cubic root of 3288168 is about 148.7024073905.

The spelling of 3288168 in words is "three million, two hundred eighty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1171 1404 2342 2808 3513 4684 7026 9368 10539 14052 15223 21078 28104 30446 31617 42156 45669 60892 63234 84312 91338 121784 126468 137007 182676 252936 274014 365352 411021 548028 822042 1096056 1644084 3288168