Search a number
-
+
2400306040 = 235112495931
BaseRepresentation
bin1000111100010001…
…1100001101111000
320012021121011212201
42033010130031320
514403434243130
61034102515544
7113324156536
oct21704341570
96167534781
102400306040
111021a01500
1256ba35bb4
132c3395042
1418aadd156
15e0ad6bca
hex8f11c378

2400306040 has 48 divisors (see below), whose sum is σ = 5936306040. Its totient is φ = 872836800.

The previous prime is 2400306011. The next prime is 2400306047. The reversal of 2400306040 is 406030042.

It is a super-2 number, since 2×24003060402 = 11522938171320963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2400305999 and 2400306017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400306047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243126 + ... + 252805.

Almost surely, 22400306040 is an apocalyptic number.

2400306040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400306040 is an abundant number, since it is smaller than the sum of its proper divisors (3536000000).

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

2400306040 is a wasteful number, since it uses less digits than its factorization.

2400306040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495964 (or 495949 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2400306040 is about 48992.9182637654. The cubic root of 2400306040 is about 1338.9228069845.

Adding to 2400306040 its reverse (406030042), we get a palindrome (2806336082).

The spelling of 2400306040 in words is "two billion, four hundred million, three hundred six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 495931 991862 1983724 2479655 3967448 4959310 5455241 9918620 10910482 19837240 21820964 27276205 43641928 54552410 60007651 109104820 120015302 218209640 240030604 300038255 480061208 600076510 1200153020 2400306040