| Base | Representation |
|---|---|
| bin | 10011101111001… |
| … | …010011000100000 |
| 3 | 212002002011111220 |
| 4 | 103233022120200 |
| 5 | 1134232133100 |
| 6 | 52505135040 |
| 7 | 11130363516 |
| oct | 2357123040 |
| 9 | 762064456 |
| 10 | 331130400 |
| 11 | 15aa07197 |
| 12 | 92a8a480 |
| 13 | 537aa463 |
| 14 | 31d984b6 |
| 15 | 1e10caa0 |
| hex | 13bca620 |
331130400 has 144 divisors (see below), whose sum is σ = 1083868128. Its totient is φ = 87808000.
The previous prime is 331130399. The next prime is 331130441. The reversal of 331130400 is 4031133.
331130400 is digitally balanced in base 3, 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 (15).
It is a self number, because there is not a number n which added to its sum of digits gives 331130400.
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 23 ways as a sum of consecutive naturals, for example, 674155 + ... + 674645.
It is an arithmetic number, because the mean of its divisors is an integer number (7526862).
Almost surely, 2331130400 is an apocalyptic number.
331130400 is a gapful number since it is divisible by the number (30) 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 331130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541934064).
331130400 is an abundant number, since it is smaller than the sum of its proper divisors (752737728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
331130400 is a wasteful number, since it uses less digits than its factorization.
331130400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 795 (or 782 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 331130400 is about 18196.9887618804. The cubic root of 331130400 is about 691.8304684550.
Adding to 331130400 its reverse (4031133), we get a palindrome (335161533).
The spelling of 331130400 in words is "three hundred thirty-one million, one hundred thirty thousand, four hundred".
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