Base | Representation |
---|---|
bin | 101000001111100… |
… | …0111101100000000 |
3 | 10111002220010201000 |
4 | 1100133013230000 |
5 | 10231141211412 |
6 | 341554212000 |
7 | 45314442261 |
oct | 12037075400 |
9 | 3432803630 |
10 | 1350335232 |
11 | 633257934 |
12 | 318284000 |
13 | 1869acb3c |
14 | cb4a4968 |
15 | 7d8344dc |
hex | 507c7b00 |
1350335232 has 144 divisors (see below), whose sum is σ = 4011799680. Its totient is φ = 448017408.
The previous prime is 1350335201. The next prime is 1350335443. The reversal of 1350335232 is 2325330531.
1350335232 is a `hidden beast` number, since 135 + 0 + 3 + 3 + 523 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 1350335196 and 1350335205.
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 15 ways as a sum of consecutive naturals, for example, 2398183 + ... + 2398745.
It is an arithmetic number, because the mean of its divisors is an integer number (27859720).
Almost surely, 21350335232 is an apocalyptic number.
1350335232 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 1350335232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005899840).
1350335232 is an abundant number, since it is smaller than the sum of its proper divisors (2661464448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1350335232 is an equidigital number, since it uses as much as digits as its factorization.
1350335232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 935 (or 915 counting only the distinct ones).
The product of its (nonzero) digits is 8100, while the sum is 27.
The square root of 1350335232 is about 36746.9077882752. The cubic root of 1350335232 is about 1105.3009238911.
Adding to 1350335232 its reverse (2325330531), we get a palindrome (3675665763).
The spelling of 1350335232 in words is "one billion, three hundred fifty million, three hundred thirty-five thousand, two hundred thirty-two".
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