| Base | Representation |
|---|---|
| bin | 11000001110100… |
| … | …11001111010000 |
| 3 | 112011102200102020 |
| 4 | 30013103033100 |
| 5 | 404012143100 |
| 6 | 32100051440 |
| 7 | 5015341416 |
| oct | 1407231720 |
| 9 | 464380366 |
| 10 | 203240400 |
| 11 | a47a6580 |
| 12 | 58093b80 |
| 13 | 331501bc |
| 14 | 1cdc72b6 |
| 15 | 12c995a0 |
| hex | c1d33d0 |
203240400 has 240 divisors, whose sum is σ = 722364480. Its totient is φ = 48435200.
The previous prime is 203240399. The next prime is 203240407. The reversal of 203240400 is 4042302.
It is a happy number.
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 203240400.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (203240407) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 1174714 + ... + 1174886.
It is an arithmetic number, because the mean of its divisors is an integer number (3009852).
Almost surely, 2203240400 is an apocalyptic number.
203240400 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 203240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361182240).
203240400 is an abundant number, since it is smaller than the sum of its proper divisors (519124080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
203240400 is a wasteful number, since it uses less digits than its factorization.
203240400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 294 (or 283 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 15.
The square root of 203240400 is about 14256.2407387081. The cubic root of 203240400 is about 587.9449714804.
Adding to 203240400 its reverse (4042302), we get a palindrome (207282702).
The spelling of 203240400 in words is "two hundred three million, two hundred forty thousand, four hundred".
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