Base | Representation |
---|---|
bin | 1000110000110111… |
… | …0100000010000000 |
3 | 20001221111212222200 |
4 | 2030031310002000 |
5 | 14304210244412 |
6 | 1025232433200 |
7 | 112203223044 |
oct | 21415640200 |
9 | 6057455880 |
10 | 2352431232 |
11 | aa7982448 |
12 | 5579a8800 |
13 | 2b64a2058 |
14 | 1845da024 |
15 | db7cb9dc |
hex | 8c374080 |
2352431232 has 72 divisors (see below), whose sum is σ = 6774106365. Its totient is φ = 783595008.
The previous prime is 2352431231. The next prime is 2352431243. The reversal of 2352431232 is 2321342532.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 1766016576 + 586414656 = 42024^2 + 24216^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=34296.
It is a junction number, because it is equal to n+sod(n) for n = 2352431196 and 2352431205.
It is not an unprimeable number, because it can be changed into a prime (2352431231) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1645494 + ... + 1646922.
Almost surely, 22352431232 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 2352431232
2352431232 is an abundant number, since it is smaller than the sum of its proper divisors (4421675133).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2352431232 is an frugal number, since it uses more digits than its factorization.
2352431232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2878 (or 1434 counting only the distinct ones).
The product of its digits is 8640, while the sum is 27.
The square root of 2352431232 is about 48501.8683351477. The cubic root of 2352431232 is about 1329.9612237362.
Adding to 2352431232 its reverse (2321342532), we get a palindrome (4673773764).
It can be divided in two parts, 23524 and 31232, that added together give a square (54756 = 2342).
The spelling of 2352431232 in words is "two billion, three hundred fifty-two million, four hundred thirty-one thousand, two hundred thirty-two".
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