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2400234040 = 235483112421
BaseRepresentation
bin1000111100010000…
…1010101000111000
320012021110112010001
42033010022220320
514403424442130
61034101202344
7113323436611
oct21704125070
96167415101
102400234040
1110219623a6
1256ba003b4
132c336b339
1418aac0c08
15e0ac06ca
hex8f10aa38

2400234040 has 32 divisors (see below), whose sum is σ = 5402079360. Its totient is φ = 959817600.

The previous prime is 2400234037. The next prime is 2400234041. The reversal of 2400234040 is 404320042.

It is a super-2 number, since 2×24002340402 = 11522246893549443200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2400233999 and 2400234017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400234041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187030 + ... + 199450.

It is an arithmetic number, because the mean of its divisors is an integer number (168814980).

Almost surely, 22400234040 is an apocalyptic number.

2400234040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400234040 is an abundant number, since it is smaller than the sum of its proper divisors (3001845320).

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

2400234040 is a wasteful number, since it uses less digits than its factorization.

2400234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17263 (or 17259 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2400234040 is about 48992.1834581803. The cubic root of 2400234040 is about 1338.9094193297.

Adding to 2400234040 its reverse (404320042), we get a palindrome (2804554082).

The spelling of 2400234040 in words is "two billion, four hundred million, two hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 4831 9662 12421 19324 24155 24842 38648 48310 49684 62105 96620 99368 124210 193240 248420 496840 60005851 120011702 240023404 300029255 480046808 600058510 1200117020 2400234040