Base | Representation |
---|---|
bin | 1001000011011001… |
… | …1111001001000000 |
3 | 20021100212002000111 |
4 | 2100312133021000 |
5 | 14434112434212 |
6 | 1041051401104 |
7 | 114136244200 |
oct | 22066371100 |
9 | 6240762014 |
10 | 2430202432 |
11 | 1037871069 |
12 | 579a53194 |
13 | 2c9631b08 |
14 | 190a82400 |
15 | e353eea7 |
hex | 90d9f240 |
2430202432 has 84 divisors (see below), whose sum is σ = 5622820860. Its totient is φ = 1039094784.
The previous prime is 2430202427. The next prime is 2430202447. The reversal of 2430202432 is 2342020342.
It can be written as a sum of positive squares in 2 ways, for example, as 1519128576 + 911073856 = 38976^2 + 30184^2 .
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 2222878 + ... + 2223970.
Almost surely, 22430202432 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 2430202432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811410430).
2430202432 is an abundant number, since it is smaller than the sum of its proper divisors (3192618428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2430202432 is a wasteful number, since it uses less digits than its factorization.
2430202432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1828 (or 1811 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 22.
The square root of 2430202432 is about 49297.0834025706. The cubic root of 2430202432 is about 1344.4587554295.
Adding to 2430202432 its reverse (2342020342), we get a palindrome (4772222774).
The spelling of 2430202432 in words is "two billion, four hundred thirty million, two hundred two thousand, four hundred thirty-two".
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