Search a number
-
+
3040648 = 23133173
BaseRepresentation
bin1011100110010110001000
312201110222121
423212112020
51234300043
6145101024
734562602
oct13462610
95643877
103040648
111797536
121027774
13826000
14592172
15400ded
hex2e6588

3040648 has 32 divisors (see below), whose sum is σ = 6211800. Its totient is φ = 1395264.

The previous prime is 3040633. The next prime is 3040649. The reversal of 3040648 is 8460403.

It can be written as a sum of positive squares in 4 ways, for example, as 550564 + 2490084 = 742^2 + 1578^2 .

It is a super-3 number, since 3×30406483 = 84337300500589733376, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3040649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17490 + ... + 17662.

Almost surely, 23040648 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 3040648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105900).

3040648 is an abundant number, since it is smaller than the sum of its proper divisors (3171152).

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

3040648 is a wasteful number, since it uses less digits than its factorization.

3040648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 3040648 is about 1743.7453942592. The cubic root of 3040648 is about 144.8734210441.

The spelling of 3040648 in words is "three million, forty thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 104 169 173 338 346 676 692 1352 1384 2197 2249 4394 4498 8788 8996 17576 17992 29237 58474 116948 233896 380081 760162 1520324 3040648