Base | Representation |
---|---|
bin | 1100010100010101011… |
… | …11001110110101000100 |
3 | 1111110102221020211021100 |
4 | 12022022233032311010 |
5 | 23413241003313244 |
6 | 522233050420100 |
7 | 42402100213524 |
oct | 6121257166504 |
9 | 1443387224240 |
10 | 423234432324 |
11 | 153546892290 |
12 | 6a038431630 |
13 | 30bac14c052 |
14 | 166adc77684 |
15 | b0215b4b69 |
hex | 628abced44 |
423234432324 has 144 divisors (see below), whose sum is σ = 1192866502464. Its totient is φ = 125452128000.
The previous prime is 423234432323. The next prime is 423234432329.
423234432324 is a `hidden beast` number, since 4 + 2 + 323 + 4 + 4 + 3 + 2 + 324 = 666.
423234432324 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (423234432323) 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 47 ways as a sum of consecutive naturals, for example, 3255922 + ... + 3383414.
It is an arithmetic number, because the mean of its divisors is an integer number (8283795156).
Almost surely, 2423234432324 is an apocalyptic number.
423234432324 is a gapful number since it is divisible by the number (44) 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 423234432324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596433251232).
423234432324 is an abundant number, since it is smaller than the sum of its proper divisors (769632070140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
423234432324 is a wasteful number, since it uses less digits than its factorization.
423234432324 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 127698 (or 127693 counting only the distinct ones).
The product of its digits is 331776, while the sum is 36.
It can be divided in two parts, 423234 and 432324, that added together give a palindrome (855558).
The spelling of 423234432324 in words is "four hundred twenty-three billion, two hundred thirty-four million, four hundred thirty-two thousand, three hundred twenty-four".
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