Base | Representation |
---|---|
bin | 10010110110001… |
… | …111010101000000 |
3 | 211001000001110000 |
4 | 102312033111000 |
5 | 1121422132243 |
6 | 51213240000 |
7 | 10556504343 |
oct | 2266172500 |
9 | 731001400 |
10 | 316208448 |
11 | 1525450a6 |
12 | 89a93000 |
13 | 506844ba |
14 | 2ddd245a |
15 | 1cb615d3 |
hex | 12d8f540 |
316208448 has 140 divisors (see below), whose sum is σ = 945316372. Its totient is φ = 104509440.
The previous prime is 316208447. The next prime is 316208461. The reversal of 316208448 is 844802613.
316208448 is a `hidden beast` number, since 3 + 1 + 6 + 208 + 448 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 32353344 + 283855104 = 5688^2 + 16848^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (316208447) 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 19 ways as a sum of consecutive naturals, for example, 938136 + ... + 938472.
Almost surely, 2316208448 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 316208448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472658186).
316208448 is an abundant number, since it is smaller than the sum of its proper divisors (629107924).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
316208448 is a wasteful number, since it uses less digits than its factorization.
316208448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 542 (or 523 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The square root of 316208448 is about 17782.2509261342. The cubic root of 316208448 is about 681.2781956402.
The spelling of 316208448 in words is "three hundred sixteen million, two hundred eight thousand, four hundred forty-eight".
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