Base | Representation |
---|---|
bin | 1111100101000… |
… | …1001101100100 |
3 | 11112221211121100 |
4 | 3321101031210 |
5 | 113212004411 |
6 | 10252320100 |
7 | 1422263220 |
oct | 371211544 |
9 | 145854540 |
10 | 65344356 |
11 | 33981200 |
12 | 19a73030 |
13 | 106cb6cc |
14 | 896d780 |
15 | 5b0b456 |
hex | 3e51364 |
65344356 has 108 divisors (see below), whose sum is σ = 207590656. Its totient is φ = 16964640.
The previous prime is 65344343. The next prime is 65344361.
65344356 is nontrivially palindromic in base 10.
65344356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×653443562 = 8539769722109472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 65344356.
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 35 ways as a sum of consecutive naturals, for example, 29421 + ... + 31563.
Almost surely, 265344356 is an apocalyptic number.
65344356 is a gapful number since it is divisible by the number (66) 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 65344356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103795328).
65344356 is an abundant number, since it is smaller than the sum of its proper divisors (142246300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65344356 is a wasteful number, since it uses less digits than its factorization.
65344356 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2182 (or 2166 counting only the distinct ones).
The product of its digits is 129600, while the sum is 36.
The square root of 65344356 is about 8083.5855905656. The cubic root of 65344356 is about 402.7813569742.
The spelling of 65344356 in words is "sixty-five million, three hundred forty-four thousand, three hundred fifty-six".
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