34528

34528 is a positive integer with several notable mathematical properties. Its prime factorization is 2^5 × 13 × 83, which makes it a composite number. It has 24 positive divisors, derived from the exponents in its factorization.

The number is abundant, meaning the sum of its proper divisors exceeds the number itself. The sum of all divisors is 74,088, so the sum of proper divisors is 39,560, which is greater than 34,528. It is divisible by 32 but not by 64. In binary notation, 34528 is 1000011011100000, and in hexadecimal it is 0x86E0. Its decimal digits sum to 22, yielding a digital root of 4. It is even and its prime factors are 2, 13, and 83, from which all divisors can be constructed.

In practical uses, five-digit numbers like 34528 commonly appear as identifiers in catalogs, inventory systems, and data records. They can also be used as ZIP codes in the United States and as numbers within various numbering schemes. While 34528 has no widely noted historical or mathematical significance beyond its stated properties, it serves as an example of how a single integer can be analyzed across multiple mathematical and applied contexts.