| Base | Representation |
|---|---|
| bin | 1001100111011… |
| … | …0001100010000 |
| 3 | 2210212222100201 |
| 4 | 2121312030100 |
| 5 | 40311030000 |
| 6 | 4000224544 |
| 7 | 666541114 |
| oct | 231661420 |
| 9 | 83788321 |
| 10 | 40330000 |
| 11 | 20846587 |
| 12 | 1160b154 |
| 13 | 8480b09 |
| 14 | 54db744 |
| 15 | 381996a |
| hex | 2676310 |
40330000 has 100 divisors (see below), whose sum is σ = 101201980. Its totient is φ = 15552000.
The previous prime is 40329941. The next prime is 40330009. The reversal of 40330000 is 3304.
It can be written as a sum of positive squares in 10 ways, for example, as 18352656 + 21977344 = 4284^2 + 4688^2 .
It is a tau number, because it is divible by the number of its divisors (100).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40330009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 369946 + ... + 370054.
Almost surely, 240330000 is an apocalyptic number.
40330000 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 40330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50600990).
40330000 is an abundant number, since it is smaller than the sum of its proper divisors (60871980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40330000 is a wasteful number, since it uses less digits than its factorization.
40330000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 174 (or 153 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 10.
The square root of 40330000 is about 6350.5905237230. The cubic root of 40330000 is about 342.9331015566.
Adding to 40330000 its reverse (3304), we get a palindrome (40333304).
It can be divided in two parts, 403 and 30000, that added together give a palindrome (30403).
The spelling of 40330000 in words is "forty million, three hundred thirty thousand".
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