| Base | Representation |
|---|---|
| bin | 1101011000111100011… |
| … | …1101101100001010000 |
| 3 | 210222202111100210222220 |
| 4 | 3112033013231201100 |
| 5 | 12232102303230112 |
| 6 | 253402032101040 |
| 7 | 22422316251651 |
| oct | 3261707554120 |
| 9 | 728674323886 |
| 10 | 230034430032 |
| 11 | 89614491000 |
| 12 | 386ba094780 |
| 13 | 188cc87a774 |
| 14 | b1c2d2d528 |
| 15 | 5eb50ee98c |
| hex | 358f1ed850 |
230034430032 has 160 divisors (see below), whose sum is σ = 654836659200. Its totient is φ = 69579452800.
The previous prime is 230034430027. The next prime is 230034430039.
230034430032 is nontrivially palindromic in base 10.
230034430032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 230034429984 and 230034430011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (230034430039) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38265907 + ... + 38271917.
It is an arithmetic number, because the mean of its divisors is an integer number (4092729120).
Almost surely, 2230034430032 is an apocalyptic number.
230034430032 is a gapful number since it is divisible by the number (22) 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 230034430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327418329600).
230034430032 is an abundant number, since it is smaller than the sum of its proper divisors (424802229168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230034430032 is a wasteful number, since it uses less digits than its factorization.
230034430032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6654 (or 6626 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 24.
It can be divided in two parts, 230034 and 430032, that added together give a palindrome (660066).
The spelling of 230034430032 in words is "two hundred thirty billion, thirty-four million, four hundred thirty thousand, thirty-two".
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