Search a number
-
+
3282048 = 273271137
BaseRepresentation
bin1100100001010010000000
320011202010100
430201102000
51320011143
6154202400
736616440
oct14412200
96152110
103282048
111941940
121123400
138abb53
14616120
1544c6d3
hex321480

3282048 has 192 divisors, whose sum is σ = 12093120. Its totient is φ = 829440.

The previous prime is 3282047. The next prime is 3282067. The reversal of 3282048 is 8402823.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (3282047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88686 + ... + 88722.

It is an arithmetic number, because the mean of its divisors is an integer number (62985).

Almost surely, 23282048 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 3282048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6046560).

3282048 is an abundant number, since it is smaller than the sum of its proper divisors (8811072).

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

3282048 is a wasteful number, since it uses less digits than its factorization.

3282048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3282048 is about 1811.6423488095. The cubic root of 3282048 is about 148.6100941911.

The spelling of 3282048 in words is "three million, two hundred eighty-two thousand, forty-eight".