Base | Representation |
---|---|
bin | 1010000001000111101… |
… | …10111110110110000110 |
3 | 1012220102211010211121000 |
4 | 11000203312332312012 |
5 | 21114404420440210 |
6 | 422042311034130 |
7 | 33603400136106 |
oct | 5004366766606 |
9 | 1186384124530 |
10 | 344198999430 |
11 | 122a793a8800 |
12 | 5685b66b946 |
13 | 265c4ac9600 |
14 | 12933265206 |
15 | 8e47b28ac0 |
hex | 5023dbed86 |
344198999430 has 576 divisors, whose sum is σ = 1128270366720. Its totient is φ = 74501856000.
The previous prime is 344198999429. The next prime is 344198999437. The reversal of 344198999430 is 34999891443.
344198999430 is a `hidden beast` number, since 3 + 4 + 4 + 198 + 9 + 9 + 9 + 430 = 666.
344198999430 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×3441989994302 (a number of 24 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (344198999437) by changing a digit.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 171157125 + ... + 171159135.
It is an arithmetic number, because the mean of its divisors is an integer number (1958802720).
Almost surely, 2344198999430 is an apocalyptic number.
344198999430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 344198999430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564135183360).
344198999430 is an abundant number, since it is smaller than the sum of its proper divisors (784071367290).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
344198999430 is a wasteful number, since it uses less digits than its factorization.
344198999430 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2106 (or 2076 counting only the distinct ones).
The product of its (nonzero) digits is 30233088, while the sum is 63.
The spelling of 344198999430 in words is "three hundred forty-four billion, one hundred ninety-eight million, nine hundred ninety-nine thousand, four hundred thirty".
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