| Base | Representation |
|---|---|
| bin | 11001111010011… |
| … | …100101010000000 |
| 3 | 1010022001200210200 |
| 4 | 121322130222000 |
| 5 | 1342244032003 |
| 6 | 111050125200 |
| 7 | 13526221626 |
| oct | 3172345200 |
| 9 | 1108050720 |
| 10 | 434752128 |
| 11 | 203451788 |
| 12 | 101720800 |
| 13 | 6c0bb5a5 |
| 14 | 41a4d516 |
| 15 | 2827a6a3 |
| hex | 19e9ca80 |
434752128 has 96 divisors (see below), whose sum is σ = 1263094560. Its totient is φ = 143522304.
The previous prime is 434752121. The next prime is 434752147. The reversal of 434752128 is 821257434.
It is a happy number.
434752128 is a `hidden beast` number, since 434 + 7 + 5 + 212 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 434752092 and 434752101.
It is not an unprimeable number, because it can be changed into a prime (434752121) 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 11 ways as a sum of consecutive naturals, for example, 121501 + ... + 125027.
It is an arithmetic number, because the mean of its divisors is an integer number (13157235).
Almost surely, 2434752128 is an apocalyptic number.
434752128 is a gapful number since it is divisible by the number (48) 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 434752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631547280).
434752128 is an abundant number, since it is smaller than the sum of its proper divisors (828342432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
434752128 is a wasteful number, since it uses less digits than its factorization.
434752128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3654 (or 3639 counting only the distinct ones).
The product of its digits is 53760, while the sum is 36.
The square root of 434752128 is about 20850.7104914917. The cubic root of 434752128 is about 757.5545403987.
The spelling of 434752128 in words is "four hundred thirty-four million, seven hundred fifty-two thousand, one hundred twenty-eight".
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