| Base | Representation |
|---|---|
| bin | 1100010101101001… |
| … | …0110101110110000 |
| 3 | 22112211011001212020 |
| 4 | 3011122112232300 |
| 5 | 23240334123100 |
| 6 | 1304352031440 |
| 7 | 145034465103 |
| oct | 30532265660 |
| 9 | 8484131766 |
| 10 | 3312020400 |
| 11 | 144a604a47 |
| 12 | 785232580 |
| 13 | 40a2306b0 |
| 14 | 235c2873a |
| 15 | 145b795a0 |
| hex | c5696bb0 |
3312020400 has 240 divisors, whose sum is σ = 11821222560. Its totient is φ = 787046400.
The previous prime is 3312020389. The next prime is 3312020431. The reversal of 3312020400 is 40202133.
3312020400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
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 3312020400.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448740 + ... + 456060.
It is an arithmetic number, because the mean of its divisors is an integer number (49255094).
Almost surely, 23312020400 is an apocalyptic number.
3312020400 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 3312020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5910611280).
3312020400 is an abundant number, since it is smaller than the sum of its proper divisors (8509202160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3312020400 is a wasteful number, since it uses less digits than its factorization.
3312020400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7384 (or 7373 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 3312020400 is about 57550.1555167317. The cubic root of 3312020400 is about 1490.6110431649.
Adding to 3312020400 its reverse (40202133), we get a palindrome (3352222533).
The spelling of 3312020400 in words is "three billion, three hundred twelve million, twenty thousand, four hundred".
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