| Base | Representation |
|---|---|
| bin | 1000100111110001… |
| … | …1110000100100000 |
| 3 | 12222021211011110202 |
| 4 | 2021330132010200 |
| 5 | 14214432033100 |
| 6 | 1021352044332 |
| 7 | 111231324644 |
| oct | 21174360440 |
| 9 | 5867734422 |
| 10 | 2314330400 |
| 11 | a88419758 |
| 12 | 5470936a8 |
| 13 | 2ab621a95 |
| 14 | 17d51cc24 |
| 15 | d82a27d5 |
| hex | 89f1e120 |
2314330400 has 72 divisors (see below), whose sum is σ = 5700080484. Its totient is φ = 917504000.
The previous prime is 2314330393. The next prime is 2314330409. The reversal of 2314330400 is 40334132.
It can be written as a sum of positive squares in 6 ways, for example, as 969201424 + 1345128976 = 31132^2 + 36676^2 .
It is a super-2 number, since 2×23143304002 = 10712250400728320000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (2314330409) 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 11 ways as a sum of consecutive naturals, for example, 77600 + ... + 103200.
Almost surely, 22314330400 is an apocalyptic number.
2314330400 is a gapful number since it is divisible by the number (20) 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 2314330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850040242).
2314330400 is an abundant number, since it is smaller than the sum of its proper divisors (3385750084).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2314330400 is a wasteful number, since it uses less digits than its factorization.
2314330400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25734 (or 25721 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 20.
The square root of 2314330400 is about 48107.4879826415. The cubic root of 2314330400 is about 1322.7419282656.
Adding to 2314330400 its reverse (40334132), we get a palindrome (2354664532).
The spelling of 2314330400 in words is "two billion, three hundred fourteen million, three hundred thirty thousand, four hundred".
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