| Base | Representation |
|---|---|
| bin | 1000000011010001… |
| … | …01110011010110000 |
| 3 | 102011020101201002110 |
| 4 | 10001220232122300 |
| 5 | 32323014423100 |
| 6 | 1552524245320 |
| 7 | 212053652514 |
| oct | 40150563260 |
| 9 | 12136351073 |
| 10 | 4322420400 |
| 11 | 1918991471 |
| 12 | a076a0840 |
| 13 | 53b66c50c |
| 14 | 2d00c2144 |
| 15 | 1a4712250 |
| hex | 101a2e6b0 |
4322420400 has 120 divisors (see below), whose sum is σ = 13924198080. Its totient is φ = 1146149120.
The previous prime is 4322420381. The next prime is 4322420407. The reversal of 4322420400 is 40242234.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×43224204002 = 37366636228672320000, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (4322420407) 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 23 ways as a sum of consecutive naturals, for example, 204739 + ... + 224861.
It is an arithmetic number, because the mean of its divisors is an integer number (116034984).
Almost surely, 24322420400 is an apocalyptic number.
4322420400 is a gapful number since it is divisible by the number (40) 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 4322420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6962099040).
4322420400 is an abundant number, since it is smaller than the sum of its proper divisors (9601777680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4322420400 is a wasteful number, since it uses less digits than its factorization.
4322420400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20323 (or 20312 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 21.
The square root of 4322420400 is about 65745.1169289401. The cubic root of 4322420400 is about 1628.9546787429.
Adding to 4322420400 its reverse (40242234), we get a palindrome (4362662634).
The spelling of 4322420400 in words is "four billion, three hundred twenty-two million, four hundred twenty thousand, four hundred".
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