| Base | Representation |
|---|---|
| bin | 11100010111111… |
| … | …00000000100000 |
| 3 | 121120212011220000 |
| 4 | 32023330000200 |
| 5 | 441412313100 |
| 6 | 35341220000 |
| 7 | 5620024605 |
| oct | 1613740040 |
| 9 | 546764800 |
| 10 | 238010400 |
| 11 | 112394811 |
| 12 | 67861600 |
| 13 | 3a405374 |
| 14 | 238786ac |
| 15 | 15d66900 |
| hex | e2fc020 |
238010400 has 180 divisors, whose sum is σ = 868213962. Its totient is φ = 63452160.
The previous prime is 238010347. The next prime is 238010401. The reversal of 238010400 is 4010832.
It is a happy number.
238010400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 3 ways, for example, as 115863696 + 122146704 = 10764^2 + 11052^2 .
It is a tau number, because it is divible by the number of its divisors (180).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (238010401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 62964 + ... + 66636.
Almost surely, 2238010400 is an apocalyptic number.
238010400 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 238010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434106981).
238010400 is an abundant number, since it is smaller than the sum of its proper divisors (630203562).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
238010400 is a wasteful number, since it uses less digits than its factorization.
238010400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3705 (or 3683 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 238010400 is about 15427.5856827956. The cubic root of 238010400 is about 619.7244700102.
The spelling of 238010400 in words is "two hundred thirty-eight million, ten thousand, four hundred".
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