Base | Representation |
---|---|
bin | 1001001000111… |
… | …1001110001110 |
3 | 2200010122020200 |
4 | 2102033032032 |
5 | 34303212444 |
6 | 3445354330 |
7 | 643562640 |
oct | 222171616 |
9 | 80118220 |
10 | 38335374 |
11 | 1a703a30 |
12 | 10a089a6 |
13 | 7c32c6c |
14 | 513c890 |
15 | 3573969 |
hex | 248f38e |
38335374 has 96 divisors (see below), whose sum is σ = 109714176. Its totient is φ = 9365760.
The previous prime is 38335373. The next prime is 38335379. The reversal of 38335374 is 47353383.
It is a happy number.
38335374 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (38335373) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22749 + ... + 24375.
It is an arithmetic number, because the mean of its divisors is an integer number (1142856).
Almost surely, 238335374 is an apocalyptic number.
38335374 is a gapful number since it is divisible by the number (34) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 38335374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54857088).
38335374 is an abundant number, since it is smaller than the sum of its proper divisors (71378802).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38335374 is a wasteful number, since it uses less digits than its factorization.
38335374 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1670 (or 1667 counting only the distinct ones).
The product of its digits is 90720, while the sum is 36.
The square root of 38335374 is about 6191.5566701759. The cubic root of 38335374 is about 337.1836970711.
Subtracting 38335374 from its reverse (47353383), we obtain a square (9018009 = 30032).
The spelling of 38335374 in words is "thirty-eight million, three hundred thirty-five thousand, three hundred seventy-four".
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