| Base | Representation |
|---|---|
| bin | 111100010101000… |
| … | …1001001001001100 |
| 3 | 12020002002202222010 |
| 4 | 1320222021021030 |
| 5 | 13121211012140 |
| 6 | 532512021220 |
| 7 | 101110244253 |
| oct | 17052111114 |
| 9 | 5202082863 |
| 10 | 2024313420 |
| 11 | 9497436a8 |
| 12 | 485b31810 |
| 13 | 26350abbc |
| 14 | 152bc779a |
| 15 | bcab6880 |
| hex | 78a8924c |
2024313420 has 96 divisors (see below), whose sum is σ = 6010357248. Its totient is φ = 507313152.
The previous prime is 2024313413. The next prime is 2024313427. The reversal of 2024313420 is 243134202.
It is an interprime number because it is at equal distance from previous prime (2024313413) and next prime (2024313427).
It is a super-3 number, since 3×20243134203 (a number of 29 digits) contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (2024313427) 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 31 ways as a sum of consecutive naturals, for example, 1083327 + ... + 1085193.
It is an arithmetic number, because the mean of its divisors is an integer number (62607888).
Almost surely, 22024313420 is an apocalyptic number.
2024313420 is a gapful number since it is divisible by the number (20) 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 2024313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005178624).
2024313420 is an abundant number, since it is smaller than the sum of its proper divisors (3986043828).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2024313420 is a wasteful number, since it uses less digits than its factorization.
2024313420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2959 (or 2957 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 21.
The square root of 2024313420 is about 44992.3706865953. The cubic root of 2024313420 is about 1265.0059980864.
Adding to 2024313420 its reverse (243134202), we get a palindrome (2267447622).
The spelling of 2024313420 in words is "two billion, twenty-four million, three hundred thirteen thousand, four hundred twenty".
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