Base | Representation |
---|---|
bin | 1000101101001… |
… | …10110000100000 |
3 | 12002102112220000 |
4 | 10112212300200 |
5 | 122144103114 |
6 | 11125220000 |
7 | 1544533254 |
oct | 426466040 |
9 | 162375800 |
10 | 73034784 |
11 | 38254129 |
12 | 20561600 |
13 | 12191c64 |
14 | 99b2264 |
15 | 6629e09 |
hex | 45a6c20 |
73034784 has 120 divisors (see below), whose sum is σ = 226250640. Its totient is φ = 23048064.
The previous prime is 73034783. The next prime is 73034831. The reversal of 73034784 is 48743037.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (73034783) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48507 + ... + 49989.
It is an arithmetic number, because the mean of its divisors is an integer number (1885422).
Almost surely, 273034784 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 73034784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113125320).
73034784 is an abundant number, since it is smaller than the sum of its proper divisors (153215856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73034784 is a wasteful number, since it uses less digits than its factorization.
73034784 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1524 (or 1507 counting only the distinct ones).
The product of its (nonzero) digits is 56448, while the sum is 36.
The square root of 73034784 is about 8546.0390825224. The cubic root of 73034784 is about 418.0002899810. Note that the first 3 decimals are identical.
The spelling of 73034784 in words is "seventy-three million, thirty-four thousand, seven hundred eighty-four".
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