| Base | Representation |
|---|---|
| bin | 1001001000101… |
| … | …1011011100000 |
| 3 | 2200002211221100 |
| 4 | 2102023123200 |
| 5 | 34302213330 |
| 6 | 3445154400 |
| 7 | 643466436 |
| oct | 222133340 |
| 9 | 80084840 |
| 10 | 38319840 |
| 11 | 1a6a3299 |
| 12 | 109bba00 |
| 13 | 7c28b80 |
| 14 | 5136d56 |
| 15 | 356e060 |
| hex | 248b6e0 |
38319840 has 288 divisors, whose sum is σ = 148599360. Its totient is φ = 8921088.
The previous prime is 38319821. The next prime is 38319847. The reversal of 38319840 is 4891383.
It is a tau number, because it is divible by the number of its divisors (288).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 3.
It is a junction number, because it is equal to n+sod(n) for n = 38319795 and 38319804.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (38319847) 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 47 ways as a sum of consecutive naturals, for example, 430516 + ... + 430604.
It is an arithmetic number, because the mean of its divisors is an integer number (515970).
Almost surely, 238319840 is an apocalyptic number.
38319840 is a gapful number since it is divisible by the number (30) 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 38319840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).
38319840 is an abundant number, since it is smaller than the sum of its proper divisors (110279520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38319840 is a wasteful number, since it uses less digits than its factorization.
38319840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 146 (or 135 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 38319840 is about 6190.3020927900. The cubic root of 38319840 is about 337.1381471552.
The spelling of 38319840 in words is "thirty-eight million, three hundred nineteen thousand, eight hundred forty".
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