Base | Representation |
---|---|
bin | 1001100101111… |
… | …0110110100000 |
3 | 2210201010012222 |
4 | 2121132312200 |
5 | 40300000100 |
6 | 3554210212 |
7 | 665662313 |
oct | 231366640 |
9 | 83633188 |
10 | 40234400 |
11 | 20790778 |
12 | 11583968 |
13 | 844944b |
14 | 54b497a |
15 | 37eb485 |
hex | 265eda0 |
40234400 has 72 divisors (see below), whose sum is σ = 103430880. Its totient is φ = 15240960.
The previous prime is 40234399. The next prime is 40234421. The reversal of 40234400 is 443204.
40234400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 13877 + ... + 16523.
It is an arithmetic number, because the mean of its divisors is an integer number (1436540).
Almost surely, 240234400 is an apocalyptic number.
40234400 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 40234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51715440).
40234400 is an abundant number, since it is smaller than the sum of its proper divisors (63196480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40234400 is a wasteful number, since it uses less digits than its factorization.
40234400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2686 (or 2673 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 17.
The square root of 40234400 is about 6343.0591988409. The cubic root of 40234400 is about 342.6619192837.
Adding to 40234400 its reverse (443204), we get a palindrome (40677604).
The spelling of 40234400 in words is "forty million, two hundred thirty-four thousand, four hundred".
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