Base | Representation |
---|---|
bin | 1110111111001010… |
… | …1001101000000000 |
3 | 101101101001012212001 |
4 | 3233302221220000 |
5 | 31214344013240 |
6 | 1503111313344 |
7 | 201460132126 |
oct | 35762515000 |
9 | 11341035761 |
10 | 4023032320 |
11 | 17849957aa |
12 | 94337b854 |
13 | 4c16270c8 |
14 | 2a242b916 |
15 | 1882c489a |
hex | efca9a00 |
4023032320 has 160 divisors (see below), whose sum is σ = 10329370128. Its totient is φ = 1497366528.
The previous prime is 4023032309. The next prime is 4023032323. The reversal of 4023032320 is 232303204.
It can be written as a sum of positive squares in 8 ways, for example, as 2048829696 + 1974202624 = 45264^2 + 44432^2 .
It is a tau number, because it is divible by the number of its divisors (160).
It is not an unprimeable number, because it can be changed into a prime (4023032323) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4220964 + ... + 4221916.
Almost surely, 24023032320 is an apocalyptic number.
4023032320 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 4023032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5164685064).
4023032320 is an abundant number, since it is smaller than the sum of its proper divisors (6306337808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4023032320 is an equidigital number, since it uses as much as digits as its factorization.
4023032320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1090 (or 1074 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 19.
The square root of 4023032320 is about 63427.3783156769. The cubic root of 4023032320 is about 1590.4420167921.
Adding to 4023032320 its reverse (232303204), we get a palindrome (4255335524).
The spelling of 4023032320 in words is "four billion, twenty-three million, thirty-two thousand, three hundred twenty".
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