Base | Representation |
---|---|
bin | 1111101100111011… |
… | …11001100011011100 |
3 | 210202111112101111010 |
4 | 13312131321203130 |
5 | 114231040002343 |
6 | 3512300055220 |
7 | 415621551330 |
oct | 76635714334 |
9 | 23674471433 |
10 | 8430000348 |
11 | 3636574040 |
12 | 1773234510 |
13 | a446598b3 |
14 | 59d83b7c0 |
15 | 345137d33 |
hex | 1f67798dc |
8430000348 has 96 divisors (see below), whose sum is σ = 24670937088. Its totient is φ = 2176459200.
The previous prime is 8430000331. The next prime is 8430000391.
8430000348 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×84300003482 (a number of 21 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126993 + ... + 181623.
It is an arithmetic number, because the mean of its divisors is an integer number (256988928).
Almost surely, 28430000348 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 8430000348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12335468544).
8430000348 is an abundant number, since it is smaller than the sum of its proper divisors (16240936740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8430000348 is a wasteful number, since it uses less digits than its factorization.
8430000348 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 54823 (or 54821 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 30.
The square root of 8430000348 is about 91815.0333442187. The cubic root of 8430000348 is about 2035.2098577212.
It can be divided in two parts, 8430000 and 348, that added together give a palindrome (8430348).
The spelling of 8430000348 in words is "eight billion, four hundred thirty million, three hundred forty-eight", and thus it is an aban number.
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