| Base | Representation |
|---|---|
| bin | 11001110111111… |
| … | …100110001001001 |
| 3 | 1010020211102110000 |
| 4 | 121313330301021 |
| 5 | 1342112102400 |
| 6 | 111024113213 |
| 7 | 13520523402 |
| oct | 3167746111 |
| 9 | 1106742400 |
| 10 | 434097225 |
| 11 | 203044741 |
| 12 | 101465809 |
| 13 | 6bc1c483 |
| 14 | 4191c9a9 |
| 15 | 2819b600 |
| hex | 19dfcc49 |
434097225 has 45 divisors (see below), whose sum is σ = 805838583. Its totient is φ = 231018480.
The previous prime is 434097211. The next prime is 434097229. The reversal of 434097225 is 522790434.
The square root of 434097225 is 20835.
It is a perfect power (a square), and thus also a powerful number.
434097225 is a `hidden beast` number, since 4 + 340 + 97 + 225 = 666.
It can be written as a sum of positive squares in only one way, i.e., 156275001 + 277822224 = 12501^2 + 16668^2 .
It is a tau number, because it is divible by the number of its divisors (45).
It is not a de Polignac number, because 434097225 - 211 = 434095177 is a prime.
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 434097225.
It is not an unprimeable number, because it can be changed into a prime (434097229) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 937344 + ... + 937806.
Almost surely, 2434097225 is an apocalyptic number.
434097225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.
434097225 is the 20835-th square number.
434097225 is the 10418-th centered octagonal number.
It is an amenable number.
434097225 is a deficient number, since it is larger than the sum of its proper divisors (371741358).
434097225 is an frugal number, since it uses more digits than its factorization.
434097225 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 948 (or 471 counting only the distinct ones).
The product of its (nonzero) digits is 60480, while the sum is 36.
The cubic root of 434097225 is about 757.1739602660.
Multiplying 434097225 by its sum of digits (36), we get a square (15627500100 = 1250102).
The spelling of 434097225 in words is "four hundred thirty-four million, ninety-seven thousand, two hundred twenty-five".
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