Base | Representation |
---|---|
bin | 1000101110101101… |
… | …1000001001000100 |
3 | 20001022112021002110 |
4 | 2023223120021010 |
5 | 14244402412400 |
6 | 1024311141020 |
7 | 112033414632 |
oct | 21353301104 |
9 | 6038467073 |
10 | 2343404100 |
11 | aa2877204 |
12 | 554974770 |
13 | 2b466125b |
14 | 18332a352 |
15 | daae6e50 |
hex | 8bad8244 |
2343404100 has 144 divisors (see below), whose sum is σ = 7218288000. Its totient is φ = 584939520.
The previous prime is 2343404093. The next prime is 2343404113. The reversal of 2343404100 is 14043432.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 1013746 + ... + 1016054.
It is an arithmetic number, because the mean of its divisors is an integer number (50127000).
Almost surely, 22343404100 is an apocalyptic number.
2343404100 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 2343404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609144000).
2343404100 is an abundant number, since it is smaller than the sum of its proper divisors (4874883900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2343404100 is a wasteful number, since it uses less digits than its factorization.
2343404100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2542 (or 2535 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 21.
The square root of 2343404100 is about 48408.7192559357. The cubic root of 2343404100 is about 1328.2578618457.
Adding to 2343404100 its reverse (14043432), we get a palindrome (2357447532).
The spelling of 2343404100 in words is "two billion, three hundred forty-three million, four hundred four thousand, one hundred".
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