Search a number
-
+
3291984 = 243222861
BaseRepresentation
bin1100100011101101010000
320012020202100
430203231100
51320320414
6154320400
736660423
oct14435520
96166670
103291984
111949353
121129100
138b3527
146199ba
15450609
hex323b50

3291984 has 30 divisors (see below), whose sum is σ = 9213386. Its totient is φ = 1097280.

The previous prime is 3291979. The next prime is 3291991. The reversal of 3291984 is 4891923.

3291984 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3240000 + 51984 = 1800^2 + 228^2 .

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11287 + ... + 11574.

Almost surely, 23291984 is an apocalyptic number.

It is an amenable number.

3291984 is an abundant number, since it is smaller than the sum of its proper divisors (5921402).

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

3291984 is a wasteful number, since it uses less digits than its factorization.

3291984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22875 (or 22866 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 3291984 is about 1814.3825395985. The cubic root of 3291984 is about 148.7599094215.

The spelling of 3291984 in words is "three million, two hundred ninety-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 22861 45722 68583 91444 137166 182888 205749 274332 365776 411498 548664 822996 1097328 1645992 3291984