Base | Representation |
---|---|
bin | 11011111011110… |
… | …11111011001000 |
3 | 121022221201002202 |
4 | 31331323323020 |
5 | 434442340130 |
6 | 35130415332 |
7 | 5543600054 |
oct | 1575737310 |
9 | 538851082 |
10 | 234340040 |
11 | 110308160 |
12 | 66591548 |
13 | 3971b85c |
14 | 231a0c64 |
15 | 1588e145 |
hex | df7bec8 |
234340040 has 64 divisors (see below), whose sum is σ = 584694720. Its totient is φ = 83808000.
The previous prime is 234340009. The next prime is 234340049. The reversal of 234340040 is 40043432.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 234339994 and 234340021.
It is not an unprimeable number, because it can be changed into a prime (234340049) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22475 + ... + 31205.
It is an arithmetic number, because the mean of its divisors is an integer number (9135855).
Almost surely, 2234340040 is an apocalyptic number.
234340040 is a gapful number since it is divisible by the number (20) 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 234340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292347360).
234340040 is an abundant number, since it is smaller than the sum of its proper divisors (350354680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234340040 is a wasteful number, since it uses less digits than its factorization.
234340040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8814 (or 8810 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 20.
The square root of 234340040 is about 15308.1690609949. The cubic root of 234340040 is about 616.5223614941.
Adding to 234340040 its reverse (40043432), we get a palindrome (274383472).
The spelling of 234340040 in words is "two hundred thirty-four million, three hundred forty thousand, forty".
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