Base | Representation |
---|---|
bin | 1000111100001101… |
… | …1001011010100101 |
3 | 20012021002021112200 |
4 | 2033003121122211 |
5 | 14403402014141 |
6 | 1034053005113 |
7 | 113321640033 |
oct | 21703313245 |
9 | 6167067480 |
10 | 2400032421 |
11 | 1021834976 |
12 | 56b923799 |
13 | 2c32ca637 |
14 | 18aa6b553 |
15 | e0a80ab6 |
hex | 8f0d96a5 |
2400032421 has 12 divisors (see below), whose sum is σ = 3467230572. Its totient is φ = 1599782976.
The previous prime is 2400032413. The next prime is 2400032423. The reversal of 2400032421 is 1242300042.
2400032421 is a `hidden beast` number, since 240 + 0 + 0 + 3 + 2 + 421 = 666.
2400032421 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 2 ways, for example, as 2117288196 + 282744225 = 46014^2 + 16815^2 .
It is not a de Polignac number, because 2400032421 - 23 = 2400032413 is a prime.
It is a super-2 number, since 2×24000324212 = 11520311243702242482, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2400032394 and 2400032403.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2400032423) 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, 61215 + ... + 92451.
It is an arithmetic number, because the mean of its divisors is an integer number (288935881).
Almost surely, 22400032421 is an apocalyptic number.
It is an amenable number.
2400032421 is a deficient number, since it is larger than the sum of its proper divisors (1067198151).
2400032421 is a wasteful number, since it uses less digits than its factorization.
2400032421 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 39780 (or 39777 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 2400032421 is about 48990.1257499917. The cubic root of 2400032421 is about 1338.8719289388.
Adding to 2400032421 its reverse (1242300042), we get a palindrome (3642332463).
The spelling of 2400032421 in words is "two billion, four hundred million, thirty-two thousand, four hundred twenty-one".
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