| Base | Representation |
|---|---|
| bin | 11011111100011… |
| … | …10000101100000 |
| 3 | 121100002111011000 |
| 4 | 31332032011200 |
| 5 | 440002230212 |
| 6 | 35132152000 |
| 7 | 5544330000 |
| oct | 1576160540 |
| 9 | 540074130 |
| 10 | 234414432 |
| 11 | 11035903a |
| 12 | 66608600 |
| 13 | 39746685 |
| 14 | 231c0000 |
| 15 | 158a61dc |
| hex | df8e160 |
234414432 has 240 divisors, whose sum is σ = 804671280. Its totient is φ = 66382848.
The previous prime is 234414421. The next prime is 234414443.
It is a happy number.
234414432 is nontrivially palindromic in base 10.
234414432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (234414421) and next prime (234414443).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a nialpdrome in base 7.
It is a zygodrome in base 7.
It is a junction number, because it is equal to n+sod(n) for n = 234414396 and 234414405.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2074408 + ... + 2074520.
It is an arithmetic number, because the mean of its divisors is an integer number (3352797).
Almost surely, 2234414432 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 234414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402335640).
234414432 is an abundant number, since it is smaller than the sum of its proper divisors (570256848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234414432 is an equidigital number, since it uses as much as digits as its factorization.
234414432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 160 (or 125 counting only the distinct ones).
The product of its digits is 9216, while the sum is 27.
The square root of 234414432 is about 15310.5986819588. The cubic root of 234414432 is about 616.5875935946.
The spelling of 234414432 in words is "two hundred thirty-four million, four hundred fourteen thousand, four hundred thirty-two".
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