Base | Representation |
---|---|
bin | 1110111010001010… |
… | …0011001010010000 |
3 | 101022220112102000100 |
4 | 3232202203022100 |
5 | 31144010044240 |
6 | 1501041252400 |
7 | 201113505354 |
oct | 35642431220 |
9 | 11286472010 |
10 | 4002034320 |
11 | 1774053689 |
12 | 938334100 |
13 | 4ba18465b |
14 | 29d723464 |
15 | 186527e30 |
hex | ee8a3290 |
4002034320 has 120 divisors (see below), whose sum is σ = 13660645752. Its totient is φ = 1049702400.
The previous prime is 4002034301. The next prime is 4002034321. The reversal of 4002034320 is 234302004.
4002034320 is a `hidden beast` number, since 400 + 203 + 43 + 20 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 156050064 + 3845984256 = 12492^2 + 62016^2 .
It is a tau number, because it is divible by the number of its divisors (120).
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 = 4002034293 and 4002034302.
It is not an unprimeable number, because it can be changed into a prime (4002034321) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1641 + ... + 89480.
Almost surely, 24002034320 is an apocalyptic number.
4002034320 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 4002034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6830322876).
4002034320 is an abundant number, since it is smaller than the sum of its proper divisors (9658611432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4002034320 is a wasteful number, since it uses less digits than its factorization.
4002034320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 91201 (or 91192 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 4002034320 is about 63261.6338707751. The cubic root of 4002034320 is about 1587.6701131693.
Adding to 4002034320 its reverse (234302004), we get a palindrome (4236336324).
The spelling of 4002034320 in words is "four billion, two million, thirty-four thousand, three hundred twenty".
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