Base | Representation |
---|---|
bin | 1000101110101001… |
… | …0111110000110000 |
3 | 20001022000212100210 |
4 | 2023222113300300 |
5 | 14244320443100 |
6 | 1024301344120 |
7 | 112031236056 |
oct | 21352276060 |
9 | 6038025323 |
10 | 2343140400 |
11 | aa2707077 |
12 | 554868040 |
13 | 2b459b213 |
14 | 18329c1d6 |
15 | daa93c50 |
hex | 8ba97c30 |
2343140400 has 120 divisors (see below), whose sum is σ = 7519786560. Its totient is φ = 623678720.
The previous prime is 2343140399. The next prime is 2343140411. The reversal of 2343140400 is 40413432.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×23431404002 = 10980613868224320000, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789319 + ... + 792281.
It is an arithmetic number, because the mean of its divisors is an integer number (62664888).
Almost surely, 22343140400 is an apocalyptic number.
2343140400 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 2343140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759893280).
2343140400 is an abundant number, since it is smaller than the sum of its proper divisors (5176646160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2343140400 is a wasteful number, since it uses less digits than its factorization.
2343140400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3643 (or 3632 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 21.
The square root of 2343140400 is about 48405.9954964259. The cubic root of 2343140400 is about 1328.2080376409.
Adding to 2343140400 its reverse (40413432), we get a palindrome (2383553832).
The spelling of 2343140400 in words is "two billion, three hundred forty-three million, one hundred forty thousand, four hundred".
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