| Base | Representation |
|---|---|
| bin | 111100100111100… |
| … | …0110100111100000 |
| 3 | 12020202100000202020 |
| 4 | 1321033012213200 |
| 5 | 13131201034100 |
| 6 | 533455421440 |
| 7 | 101255510103 |
| oct | 17117064740 |
| 9 | 5222300666 |
| 10 | 2034002400 |
| 11 | 954161121 |
| 12 | 489224880 |
| 13 | 265521021 |
| 14 | 1541ca73a |
| 15 | bd87c5a0 |
| hex | 793c69e0 |
2034002400 has 144 divisors (see below), whose sum is σ = 7010270064. Its totient is φ = 510484480.
The previous prime is 2034002381. The next prime is 2034002407. The reversal of 2034002400 is 42004302.
It is a happy number.
2034002400 is digitally balanced in base 4, 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 2034002400.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2034002407) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15874 + ... + 65726.
It is an arithmetic number, because the mean of its divisors is an integer number (48682431).
Almost surely, 22034002400 is an apocalyptic number.
2034002400 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 2034002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505135032).
2034002400 is an abundant number, since it is smaller than the sum of its proper divisors (4976267664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2034002400 is a wasteful number, since it uses less digits than its factorization.
2034002400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 49893 (or 49880 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 15.
The square root of 2034002400 is about 45099.9157427151. The cubic root of 2034002400 is about 1267.0210212035.
Adding to 2034002400 its reverse (42004302), we get a palindrome (2076006702).
The spelling of 2034002400 in words is "two billion, thirty-four million, two thousand, four hundred".
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