| Base | Representation |
|---|---|
| bin | 111011001101010… |
| … | …000110001110100 |
| 3 | 2120020010111210200 |
| 4 | 323031100301310 |
| 5 | 4013243113330 |
| 6 | 242322320500 |
| 7 | 33421120440 |
| oct | 7315206164 |
| 9 | 2506114720 |
| 10 | 993332340 |
| 11 | 46a78a320 |
| 12 | 2387b9130 |
| 13 | 12aa44320 |
| 14 | 95cd3820 |
| 15 | 5c315a60 |
| hex | 3b350c74 |
993332340 has 576 divisors, whose sum is σ = 4182796800. Its totient is φ = 184135680.
The previous prime is 993332323. The next prime is 993332371. The reversal of 993332340 is 43233399.
993332340 is a `hidden beast` number, since 99 + 333 + 234 + 0 = 666.
993332340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 993332295 and 993332304.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6666586 + ... + 6666734.
It is an arithmetic number, because the mean of its divisors is an integer number (7261800).
Almost surely, 2993332340 is an apocalyptic number.
993332340 is a gapful number since it is divisible by the number (90) 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 993332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091398400).
993332340 is an abundant number, since it is smaller than the sum of its proper divisors (3189464460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
993332340 is a wasteful number, since it uses less digits than its factorization.
993332340 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 232 (or 227 counting only the distinct ones).
The product of its (nonzero) digits is 52488, while the sum is 36.
The square root of 993332340 is about 31517.1753175947. The cubic root of 993332340 is about 997.7724885435.
It can be divided in two parts, 993 and 332340, that added together give a palindrome (333333).
The spelling of 993332340 in words is "nine hundred ninety-three million, three hundred thirty-two thousand, three hundred forty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.091 sec. • engine limits •