Base | Representation |
---|---|
bin | 100100101010011… |
… | …1101101100000000 |
3 | 10011201220021111000 |
4 | 1021110331230000 |
5 | 10004414413240 |
6 | 322024052000 |
7 | 42325542102 |
oct | 11124755400 |
9 | 3151807430 |
10 | 1230232320 |
11 | 581485829 |
12 | 2a4004000 |
13 | 167b4b125 |
14 | b955d572 |
15 | 7300d430 |
hex | 4953db00 |
1230232320 has 144 divisors (see below), whose sum is σ = 4365738720. Its totient is φ = 328052736.
The previous prime is 1230232301. The next prime is 1230232321. The reversal of 1230232320 is 232320321.
It is a happy number.
1230232320 is a `hidden beast` number, since 12 + 302 + 32 + 320 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×12302323202 = 3026943122345164800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1230232293 and 1230232302.
It is not an unprimeable number, because it can be changed into a prime (1230232321) 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, 16762 + ... + 52358.
It is an arithmetic number, because the mean of its divisors is an integer number (30317630).
Almost surely, 21230232320 is an apocalyptic number.
1230232320 is a gapful number since it is divisible by the number (10) 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 1230232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182869360).
1230232320 is an abundant number, since it is smaller than the sum of its proper divisors (3135506400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1230232320 is an equidigital number, since it uses as much as digits as its factorization.
1230232320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 35627 (or 35607 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 1230232320 is about 35074.6677817481. The cubic root of 1230232320 is about 1071.5087226896.
Adding to 1230232320 its reverse (232320321), we get a palindrome (1462552641).
The spelling of 1230232320 in words is "one billion, two hundred thirty million, two hundred thirty-two thousand, three hundred twenty".
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