Base | Representation |
---|---|
bin | 1000101111100… |
… | …11011100010000 |
3 | 12010000111202012 |
4 | 10113303130100 |
5 | 122234131010 |
6 | 11140042052 |
7 | 1550312063 |
oct | 427633420 |
9 | 163014665 |
10 | 73348880 |
11 | 38449110 |
12 | 20693328 |
13 | 12271c07 |
14 | 9a548da |
15 | 668d005 |
hex | 45f3710 |
73348880 has 80 divisors (see below), whose sum is σ = 197023104. Its totient is φ = 25098240.
The previous prime is 73348879. The next prime is 73348889. The reversal of 73348880 is 8884337.
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (73348889) 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 15 ways as a sum of consecutive naturals, for example, 12509 + ... + 17411.
Almost surely, 273348880 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 73348880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98511552).
73348880 is an abundant number, since it is smaller than the sum of its proper divisors (123674224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73348880 is a wasteful number, since it uses less digits than its factorization.
73348880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4944 (or 4938 counting only the distinct ones).
The product of its (nonzero) digits is 129024, while the sum is 41.
The square root of 73348880 is about 8564.3960674411. The cubic root of 73348880 is about 418.5986553395.
The spelling of 73348880 in words is "seventy-three million, three hundred forty-eight thousand, eight hundred eighty".
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