Base | Representation |
---|---|
bin | 11001111001001… |
… | …110000100110000 |
3 | 1010021110100021111 |
4 | 121321032010300 |
5 | 1342203232011 |
6 | 111035203104 |
7 | 13523411341 |
oct | 3171160460 |
9 | 1107410244 |
10 | 434430256 |
11 | 203251977 |
12 | 1015a6494 |
13 | 6c007c30 |
14 | 419a80c8 |
15 | 28215121 |
hex | 19e4e130 |
434430256 has 80 divisors (see below), whose sum is σ = 959938560. Its totient is φ = 188939520.
The previous prime is 434430251. The next prime is 434430277. The reversal of 434430256 is 652034434.
It is not an unprimeable number, because it can be changed into a prime (434430251) 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 15 ways as a sum of consecutive naturals, for example, 339025 + ... + 340303.
It is an arithmetic number, because the mean of its divisors is an integer number (11999232).
Almost surely, 2434430256 is an apocalyptic number.
434430256 is a gapful number since it is divisible by the number (46) 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 434430256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).
434430256 is an abundant number, since it is smaller than the sum of its proper divisors (525508304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
434430256 is a wasteful number, since it uses less digits than its factorization.
434430256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1394 (or 1388 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 31.
The square root of 434430256 is about 20842.9905723723. The cubic root of 434430256 is about 757.3675405128.
The spelling of 434430256 in words is "four hundred thirty-four million, four hundred thirty thousand, two hundred fifty-six".
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