Base | Representation |
---|---|
bin | 1001000110011… |
… | …00010111010000 |
3 | 12022122012022100 |
4 | 10203030113100 |
5 | 124020201134 |
6 | 11324040400 |
7 | 1614555456 |
oct | 443142720 |
9 | 168565270 |
10 | 76334544 |
11 | 3a0a8300 |
12 | 21693100 |
13 | 12a78b90 |
14 | a1d09d6 |
15 | 6a7c999 |
hex | 48cc5d0 |
76334544 has 180 divisors, whose sum is σ = 253630468. Its totient is φ = 21288960.
The previous prime is 76334543. The next prime is 76334561. The reversal of 76334544 is 44543367.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 15681600 + 60652944 = 3960^2 + 7788^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 76334499 and 76334508.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (76334543) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 226344 + ... + 226680.
Almost surely, 276334544 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 76334544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126815234).
76334544 is an abundant number, since it is smaller than the sum of its proper divisors (177295924).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
76334544 is a wasteful number, since it uses less digits than its factorization.
76334544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 386 (or 366 counting only the distinct ones).
The product of its digits is 120960, while the sum is 36.
The square root of 76334544 is about 8736.9642325009. The cubic root of 76334544 is about 424.2029703429.
The spelling of 76334544 in words is "seventy-six million, three hundred thirty-four thousand, five hundred forty-four".
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