Search a number
-
+
2402240040 = 233256672889
BaseRepresentation
bin1000111100101111…
…0100011000101000
320012102020102211100
42033023310120220
514404433140130
61034212201400
7113346463164
oct21713643050
96172212740
102402240040
111023002552
12570609260
132c38c1415
1418b083ca4
15e0d69c60
hex8f2f4628

2402240040 has 48 divisors (see below), whose sum is σ = 7807281300. Its totient is φ = 640597248.

The previous prime is 2402240039. The next prime is 2402240111. The reversal of 2402240040 is 400422042.

2402240040 is a `hidden beast` number, since 240 + 22 + 400 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1941107364 + 461132676 = 44058^2 + 21474^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2402239995 and 2402240022.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3336085 + ... + 3336804.

Almost surely, 22402240040 is an apocalyptic number.

2402240040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2402240040 is an abundant number, since it is smaller than the sum of its proper divisors (5405041260).

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

2402240040 is a wasteful number, since it uses less digits than its factorization.

2402240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6672906 (or 6672899 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2402240040 is about 49012.6518360311. The cubic root of 2402240040 is about 1339.2823141338.

Adding to 2402240040 its reverse (400422042), we get a palindrome (2802662082).

The spelling of 2402240040 in words is "two billion, four hundred two million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6672889 13345778 20018667 26691556 33364445 40037334 53383112 60056001 66728890 80074668 100093335 120112002 133457780 160149336 200186670 240224004 266915560 300280005 400373340 480448008 600560010 800746680 1201120020 2402240040