| Base | Representation |
|---|---|
| bin | 1000101011001… |
| … | …0001010000000 |
| 3 | 2112110100210000 |
| 4 | 2022302022000 |
| 5 | 33303200222 |
| 6 | 3335440000 |
| 7 | 621143652 |
| oct | 212621200 |
| 9 | 75410700 |
| 10 | 36381312 |
| 11 | 19599900 |
| 12 | 10226000 |
| 13 | 76ca706 |
| 14 | 4b906d2 |
| 15 | 32d99ac |
| hex | 22b2280 |
36381312 has 240 divisors, whose sum is σ = 123111450. Its totient is φ = 10644480.
The previous prime is 36381299. The next prime is 36381349. The reversal of 36381312 is 21318363.
It is a happy number.
36381312 is a `hidden beast` number, since 3 + 638 + 13 + 12 = 666.
It can be written as a sum of positive squares in only one way, i.e., 30735936 + 5645376 = 5544^2 + 2376^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1254514 + ... + 1254542.
Almost surely, 236381312 is an apocalyptic number.
36381312 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 36381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61555725).
36381312 is an abundant number, since it is smaller than the sum of its proper divisors (86730138).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36381312 is a wasteful number, since it uses less digits than its factorization.
36381312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 77 (or 45 counting only the distinct ones).
The product of its digits is 2592, while the sum is 27.
The square root of 36381312 is about 6031.6922998442. The cubic root of 36381312 is about 331.3544333350.
Adding to 36381312 its reverse (21318363), we get a palindrome (57699675).
It can be divided in two parts, 3638 and 1312, that added together give a triangular number (4950 = T99).
The spelling of 36381312 in words is "thirty-six million, three hundred eighty-one thousand, three hundred twelve".
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