Search a number
-
+
3283072 = 27131973
BaseRepresentation
bin1100100001100010000000
320011210112021
430201202000
51320024242
6154211224
736622432
oct14414200
96153467
103283072
111942691
121123b14
138ac460
14616652
1544cb67
hex321880

3283072 has 32 divisors (see below), whose sum is σ = 7047180. Its totient is φ = 1514496.

The previous prime is 3283069. The next prime is 3283079. The reversal of 3283072 is 2703823.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2903616 + 379456 = 1704^2 + 616^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3283079) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 678 + ... + 2650.

Almost surely, 23283072 is an apocalyptic number.

3283072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3283072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523590).

3283072 is an abundant number, since it is smaller than the sum of its proper divisors (3764108).

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

3283072 is a wasteful number, since it uses less digits than its factorization.

3283072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 3283072 is about 1811.9249432579. The cubic root of 3283072 is about 148.6255480493.

Adding to 3283072 its reverse (2703823), we get a palindrome (5986895).

The spelling of 3283072 in words is "three million, two hundred eighty-three thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 1973 3946 7892 15784 25649 31568 51298 63136 102596 126272 205192 252544 410384 820768 1641536 3283072