| Base | Representation |
|---|---|
| bin | 1110111010101110… |
| … | …0101110001100000 |
| 3 | 101100001222211001010 |
| 4 | 3232223211301200 |
| 5 | 31200111414240 |
| 6 | 1501204140520 |
| 7 | 201142606110 |
| oct | 35653456140 |
| 9 | 11301884033 |
| 10 | 4004404320 |
| 11 | 1775422264 |
| 12 | 939097740 |
| 13 | 4ba804317 |
| 14 | 29db7d040 |
| 15 | 186845280 |
| hex | eeae5c60 |
4004404320 has 192 divisors, whose sum is σ = 14509587456. Its totient is φ = 909342720.
The previous prime is 4004404319. The next prime is 4004404321. The reversal of 4004404320 is 234044004.
It is an interprime number because it is at equal distance from previous prime (4004404319) and next prime (4004404321).
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4004404321) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523725 + ... + 531315.
It is an arithmetic number, because the mean of its divisors is an integer number (75570768).
Almost surely, 24004404320 is an apocalyptic number.
4004404320 is a gapful number since it is divisible by the number (40) 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 4004404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254793728).
4004404320 is an abundant number, since it is smaller than the sum of its proper divisors (10505183136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4004404320 is a wasteful number, since it uses less digits than its factorization.
4004404320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7773 (or 7765 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 21.
The square root of 4004404320 is about 63280.3628308182. The cubic root of 4004404320 is about 1587.9834567791.
Adding to 4004404320 its reverse (234044004), we get a palindrome (4238448324).
The spelling of 4004404320 in words is "four billion, four million, four hundred four thousand, three hundred twenty".
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