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3004040 = 2351353109
BaseRepresentation
bin1011011101011010001000
312122121202202
423131122020
51232112130
6144215332
734351064
oct13353210
95577682
103004040
111771a86
12100a548
13812450
14582aa4
153e5145
hex2dd688

3004040 has 64 divisors (see below), whose sum is σ = 7484400. Its totient is φ = 1078272.

The previous prime is 3004037. The next prime is 3004049. The reversal of 3004040 is 404003.

3004040 is digitally balanced in base 2, 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 8 ways, for example, as 1350244 + 1653796 = 1162^2 + 1286^2 .

It is not an unprimeable number, because it can be changed into a prime (3004049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27506 + ... + 27614.

Almost surely, 23004040 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 3004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742200).

3004040 is an abundant number, since it is smaller than the sum of its proper divisors (4480360).

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

3004040 is a wasteful number, since it uses less digits than its factorization.

3004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 3004040 is about 1733.2166627401. The cubic root of 3004040 is about 144.2896689717.

Adding to 3004040 its reverse (404003), we get a palindrome (3408043).

The spelling of 3004040 in words is "three million, four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 109 130 212 218 260 265 424 436 520 530 545 689 872 1060 1090 1378 1417 2120 2180 2756 2834 3445 4360 5512 5668 5777 6890 7085 11336 11554 13780 14170 23108 27560 28340 28885 46216 56680 57770 75101 115540 150202 231080 300404 375505 600808 751010 1502020 3004040