Base | Representation |
---|---|
bin | 10111000110101… |
… | …010101101000000 |
3 | 1000000101022210222 |
4 | 113012222231000 |
5 | 1243212424434 |
6 | 102244042212 |
7 | 12414514244 |
oct | 2706525500 |
9 | 1000338728 |
10 | 387623744 |
11 | 189892502 |
12 | a9993368 |
13 | 623ca281 |
14 | 396a2424 |
15 | 2406b72e |
hex | 171aab40 |
387623744 has 42 divisors (see below), whose sum is σ = 797459670. Its totient is φ = 186719232.
The previous prime is 387623741. The next prime is 387623767. The reversal of 387623744 is 447326783.
It can be written as a sum of positive squares in 3 ways, for example, as 204833344 + 182790400 = 14312^2 + 13520^2 .
It is a junction number, because it is equal to n+sod(n) for n = 387623695 and 387623704.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (387623741) 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 5 ways as a sum of consecutive naturals, for example, 847964 + ... + 848420.
It is an arithmetic number, because the mean of its divisors is an integer number (18987135).
Almost surely, 2387623744 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 387623744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398729835).
387623744 is an abundant number, since it is smaller than the sum of its proper divisors (409835926).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
387623744 is an frugal number, since it uses more digits than its factorization.
387623744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 955 (or 488 counting only the distinct ones).
The product of its digits is 677376, while the sum is 44.
The square root of 387623744 is about 19688.1625348837. The cubic root of 387623744 is about 729.1274644256.
The spelling of 387623744 in words is "three hundred eighty-seven million, six hundred twenty-three thousand, seven hundred forty-four".
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