| Base | Representation |
|---|---|
| bin | 1001001001101… |
| … | …0101100000000 |
| 3 | 2200020000200000 |
| 4 | 2102122230000 |
| 5 | 34311213321 |
| 6 | 3450400000 |
| 7 | 644146566 |
| oct | 222325400 |
| 9 | 80200600 |
| 10 | 38382336 |
| 11 | 1a736243 |
| 12 | 10a30000 |
| 13 | 7c4b455 |
| 14 | 5151a36 |
| 15 | 3582826 |
| hex | 249ab00 |
38382336 has 108 divisors (see below), whose sum is σ = 114950472. Its totient is φ = 12773376.
The previous prime is 38382329. The next prime is 38382343. The reversal of 38382336 is 63328383.
It is an interprime number because it is at equal distance from previous prime (38382329) and next prime (38382343).
It is a tau number, because it is divible by the number of its divisors (108).
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 and also a Zuckerman number because it is divisible by the product of its digits.
Its product of digits (62208) is a multiple of the sum of its prime factors (648).
It is a self number, because there is not a number n which added to its sum of digits gives 38382336.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61900 + ... + 62516.
Almost surely, 238382336 is an apocalyptic number.
38382336 is a gapful number since it is divisible by the number (36) 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 38382336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57475236).
38382336 is an abundant number, since it is smaller than the sum of its proper divisors (76568136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38382336 is an frugal number, since it uses more digits than its factorization.
38382336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 648 (or 622 counting only the distinct ones).
The product of its digits is 62208, while the sum is 36.
The square root of 38382336 is about 6195.3479321181. The cubic root of 38382336 is about 337.3213276499.
The spelling of 38382336 in words is "thirty-eight million, three hundred eighty-two thousand, three hundred thirty-six".
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