Base | Representation |
---|---|
bin | 1101101000101000000… |
… | …1111100100100100000 |
3 | 211101121212102010102220 |
4 | 3122022001330210200 |
5 | 12314212431000112 |
6 | 255335445511040 |
7 | 22631533101540 |
oct | 3321201744440 |
9 | 741555363386 |
10 | 234244000032 |
11 | 903846a4279 |
12 | 39493a12480 |
13 | 19120a273a3 |
14 | b4a2037320 |
15 | 615e96e98c |
hex | 368a07c920 |
234244000032 has 96 divisors (see below), whose sum is σ = 703284019200. Its totient is φ = 66874284288.
The previous prime is 234244000009. The next prime is 234244000037. The reversal of 234244000032 is 230000442432.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 234243999966 and 234244000011.
It is not an unprimeable number, because it can be changed into a prime (234244000037) 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, 723219 + ... + 995757.
It is an arithmetic number, because the mean of its divisors is an integer number (7325875200).
Almost surely, 2234244000032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 234244000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351642009600).
234244000032 is an abundant number, since it is smaller than the sum of its proper divisors (469040019168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234244000032 is a wasteful number, since it uses less digits than its factorization.
234244000032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 273838 (or 273830 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 24.
Adding to 234244000032 its reverse (230000442432), we get a palindrome (464244442464).
The spelling of 234244000032 in words is "two hundred thirty-four billion, two hundred forty-four million, thirty-two", and thus it is an aban number.
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