| Base | Representation |
|---|---|
| bin | 11011111100001… |
| … | …01001110100000 |
| 3 | 121100000122101000 |
| 4 | 31332011032200 |
| 5 | 440000100034 |
| 6 | 35131312000 |
| 7 | 5544116130 |
| oct | 1576051640 |
| 9 | 540018330 |
| 10 | 234378144 |
| 11 | 110333850 |
| 12 | 665ab600 |
| 13 | 39732cc0 |
| 14 | 231b0ac0 |
| 15 | 1589a599 |
| hex | df853a0 |
234378144 has 384 divisors, whose sum is σ = 921231360. Its totient is φ = 55987200.
The previous prime is 234378113. The next prime is 234378163. The reversal of 234378144 is 441873432.
234378144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2343781442 = 109866228769769472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 234378099 and 234378108.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 864729 + ... + 864999.
It is an arithmetic number, because the mean of its divisors is an integer number (2399040).
Almost surely, 2234378144 is an apocalyptic number.
234378144 is a gapful number since it is divisible by the number (24) 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 234378144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460615680).
234378144 is an abundant number, since it is smaller than the sum of its proper divisors (686853216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234378144 is a wasteful number, since it uses less digits than its factorization.
234378144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 321 (or 307 counting only the distinct ones).
The product of its digits is 64512, while the sum is 36.
The square root of 234378144 is about 15309.4135746605. The cubic root of 234378144 is about 616.5557754666. Note that the first 3 decimals are identical.
The spelling of 234378144 in words is "two hundred thirty-four million, three hundred seventy-eight thousand, one hundred forty-four".
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