Base | Representation |
---|---|
bin | 10110110101111… |
… | …110000010100000 |
3 | 222201010221100200 |
4 | 112311332002200 |
5 | 1241102341441 |
6 | 102010145200 |
7 | 12332353503 |
oct | 2665760240 |
9 | 881127320 |
10 | 383246496 |
11 | 187372846 |
12 | a8422200 |
13 | 61526a99 |
14 | 38c8313a |
15 | 239a47b6 |
hex | 16d7e0a0 |
383246496 has 72 divisors (see below), whose sum is σ = 1104847380. Its totient is φ = 125991936.
The previous prime is 383246483. The next prime is 383246509. The reversal of 383246496 is 694642383.
It is an interprime number because it is at equal distance from previous prime (383246483) and next prime (383246509).
It can be written as a sum of positive squares in 2 ways, for example, as 321843600 + 61402896 = 17940^2 + 7836^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a nude number because it is divisible by every one of its digits.
It is a nialpdrome in base 12.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11910 + ... + 30138.
Almost surely, 2383246496 is an apocalyptic number.
383246496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 383246496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552423690).
383246496 is an abundant number, since it is smaller than the sum of its proper divisors (721600884).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
383246496 is a wasteful number, since it uses less digits than its factorization.
383246496 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18318 (or 18307 counting only the distinct ones).
The product of its digits is 746496, while the sum is 45.
The square root of 383246496 is about 19576.6824564327. The cubic root of 383246496 is about 726.3725065118.
The spelling of 383246496 in words is "three hundred eighty-three million, two hundred forty-six thousand, four hundred ninety-six".
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