Base | Representation |
---|---|
bin | 1001000100011… |
… | …1001100000000 |
3 | 2122120122111202 |
4 | 2101013030000 |
5 | 34214242240 |
6 | 3435200332 |
7 | 641223503 |
oct | 221071400 |
9 | 78518452 |
10 | 38040320 |
11 | 1a52228a |
12 | 108a60a8 |
13 | 7b5b886 |
14 | 50a313a |
15 | 3516315 |
hex | 2447300 |
38040320 has 72 divisors (see below), whose sum is σ = 92274336. Its totient is φ = 15024128.
The previous prime is 38040313. The next prime is 38040341. The reversal of 38040320 is 2304083.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 38040292 and 38040301.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144509 + ... + 144771.
It is an arithmetic number, because the mean of its divisors is an integer number (1281588).
Almost surely, 238040320 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 38040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46137168).
38040320 is an abundant number, since it is smaller than the sum of its proper divisors (54234016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38040320 is a wasteful number, since it uses less digits than its factorization.
38040320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 397 (or 383 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 38040320 is about 6167.6835197666. The cubic root of 38040320 is about 336.3164064106.
The spelling of 38040320 in words is "thirty-eight million, forty thousand, three hundred twenty".
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