Base | Representation |
---|---|
bin | 10011010000101… |
… | …110000000000000 |
3 | 211112001201020000 |
4 | 103100232000000 |
5 | 1130211243244 |
6 | 52022120000 |
7 | 11002504524 |
oct | 2320560000 |
9 | 745051200 |
10 | 323149824 |
11 | 156456278 |
12 | 90280000 |
13 | 51c44b1a |
14 | 30cbbd84 |
15 | 1d583169 |
hex | 1342e000 |
323149824 has 140 divisors (see below), whose sum is σ = 967383384. Its totient is φ = 107495424.
The previous prime is 323149817. The next prime is 323149861. The reversal of 323149824 is 428941323.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663309 + ... + 663795.
Almost surely, 2323149824 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 323149824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483691692).
323149824 is an abundant number, since it is smaller than the sum of its proper divisors (644233560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
323149824 is an frugal number, since it uses more digits than its factorization.
323149824 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 525 (or 492 counting only the distinct ones).
The product of its digits is 41472, while the sum is 36.
The square root of 323149824 is about 17976.3684875450. The cubic root of 323149824 is about 686.2272732776.
The spelling of 323149824 in words is "three hundred twenty-three million, one hundred forty-nine thousand, eight hundred twenty-four".
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