Search a number
-
+
2404263420 = 223251317193181
BaseRepresentation
bin1000111101001110…
…0010010111111100
320012120001020101100
42033103202113330
514410442412140
61034323413100
7113402621226
oct21723422774
96176036340
102404263420
111024164769
12571224190
132c414c3a0
1418b44d416
15e1119530
hex8f4e25fc

2404263420 has 288 divisors, whose sum is σ = 8756354880. Its totient is φ = 527523840.

The previous prime is 2404263413. The next prime is 2404263457. The reversal of 2404263420 is 243624042.

2404263420 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 2 + 634 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 754230 + ... + 757410.

It is an arithmetic number, because the mean of its divisors is an integer number (30404010).

Almost surely, 22404263420 is an apocalyptic number.

2404263420 is a gapful number since it is divisible by the number (20) 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 2404263420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378177440).

2404263420 is an abundant number, since it is smaller than the sum of its proper divisors (6352091460).

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

2404263420 is a wasteful number, since it uses less digits than its factorization.

2404263420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2404263420 is about 49033.2888964222. The cubic root of 2404263420 is about 1339.6582294638.

Adding to 2404263420 its reverse (243624042), we get a palindrome (2647887462).

The spelling of 2404263420 in words is "two billion, four hundred four million, two hundred sixty-three thousand, four hundred twenty".