Base | Representation |
---|---|
bin | 101010101000000… |
… | …1111001110100000 |
3 | 10200200101210020000 |
4 | 1111100033032200 |
5 | 10412130220112 |
6 | 353532420000 |
7 | 50305343151 |
oct | 12520171640 |
9 | 3620353200 |
10 | 1430320032 |
11 | 674418679 |
12 | 33b017600 |
13 | 19a43631b |
14 | d7d65928 |
15 | 858837dc |
hex | 5540f3a0 |
1430320032 has 120 divisors (see below), whose sum is σ = 4219330500. Its totient is φ = 475324416.
The previous prime is 1430320013. The next prime is 1430320033. The reversal of 1430320032 is 2300230341.
1430320032 is a `hidden beast` number, since 1 + 430 + 3 + 200 + 32 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 1221921936 + 208398096 = 34956^2 + 14436^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1430319987 and 1430320014.
It is not an unprimeable number, because it can be changed into a prime (1430320033) by changing a digit.
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 19 ways as a sum of consecutive naturals, for example, 1163194 + ... + 1164422.
Almost surely, 21430320032 is an apocalyptic number.
1430320032 is a gapful number since it is divisible by the number (12) 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 1430320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109665250).
1430320032 is an abundant number, since it is smaller than the sum of its proper divisors (2789010468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1430320032 is a wasteful number, since it uses less digits than its factorization.
1430320032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1700 (or 1683 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 1430320032 is about 37819.5720758445. The cubic root of 1430320032 is about 1126.7072106289.
Adding to 1430320032 its reverse (2300230341), we get a palindrome (3730550373).
The spelling of 1430320032 in words is "one billion, four hundred thirty million, three hundred twenty thousand, thirty-two".
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