Base | Representation |
---|---|
bin | 1000100110000… |
… | …0001000000000 |
3 | 2111211021212120 |
4 | 2021200020000 |
5 | 33211422222 |
6 | 3324324240 |
7 | 615244242 |
oct | 211401000 |
9 | 74737776 |
10 | 36045312 |
11 | 1938a416 |
12 | 100a3680 |
13 | 76107b4 |
14 | 4b04092 |
15 | 327015c |
hex | 2260200 |
36045312 has 80 divisors (see below), whose sum is σ = 99255552. Its totient is φ = 11612160.
The previous prime is 36045311. The next prime is 36045349. The reversal of 36045312 is 21354063.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (36045311) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47238 + ... + 47994.
Almost surely, 236045312 is an apocalyptic number.
36045312 is a gapful number since it is divisible by the number (32) 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 36045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49627776).
36045312 is an abundant number, since it is smaller than the sum of its proper divisors (63210240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36045312 is an equidigital number, since it uses as much as digits as its factorization.
36045312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 809 (or 793 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 24.
The square root of 36045312 is about 6003.7748125658. The cubic root of 36045312 is about 330.3312009994.
Adding to 36045312 its reverse (21354063), we get a palindrome (57399375).
The spelling of 36045312 in words is "thirty-six million, forty-five thousand, three hundred twelve".
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