Base | Representation |
---|---|
bin | 10011000101111… |
… | …001010010110100 |
3 | 211022201120010221 |
4 | 103011321102310 |
5 | 1124000000000 |
6 | 51441224124 |
7 | 10636416454 |
oct | 2305712264 |
9 | 738646127 |
10 | 320312500 |
11 | 154898582 |
12 | 8b332044 |
13 | 51490531 |
14 | 3077dd64 |
15 | 1d1c261a |
hex | 131794b4 |
320312500 has 60 divisors (see below), whose sum is σ = 717773364. Its totient is φ = 125000000.
The previous prime is 320312477. The next prime is 320312533. The reversal of 320312500 is 5213023.
It can be written as a sum of positive squares in 10 ways, for example, as 5817744 + 314494756 = 2412^2 + 17734^2 .
It is a sliding number, since 320312500 = 312500 + 320000000 and 1/312500 + 1/320000000 = 0.00000320312500.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7812480 + ... + 7812520.
Almost surely, 2320312500 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 320312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358886682).
320312500 is an abundant number, since it is smaller than the sum of its proper divisors (397460864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
320312500 is an frugal number, since it uses more digits than its factorization.
320312500 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 90 (or 48 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 16.
The square root of 320312500 is about 17897.2763290954. The cubic root of 320312500 is about 684.2129593498.
Adding to 320312500 its reverse (5213023), we get a palindrome (325525523).
It can be divided in two parts, 320 and 312500, that multiplied together give a 8-th power (100000000 = 108).
The spelling of 320312500 in words is "three hundred twenty million, three hundred twelve thousand, five hundred".
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