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580328 = 23743241
BaseRepresentation
bin10001101101011101000
31002111001122
42031223220
5122032303
620234412
74634630
oct2155350
91074048
10580328
11367011
1223ba08
131741b8
141116c0
15b6e38
hex8dae8

580328 has 32 divisors (see below), whose sum is σ = 1277760. Its totient is φ = 241920.

The previous prime is 580303. The next prime is 580331. The reversal of 580328 is 823085.

580328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 580297 and 580306.

It is an unprimeable number.

580328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2288 + ... + 2528.

It is an arithmetic number, because the mean of its divisors is an integer number (39930).

2580328 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 580328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638880).

580328 is an abundant number, since it is smaller than the sum of its proper divisors (697432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

580328 is a wasteful number, since it uses less digits than its factorization.

580328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 580328 is about 761.7926226999. The cubic root of 580328 is about 83.4112267243.

The spelling of 580328 in words is "five hundred eighty thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 241 301 344 482 602 964 1204 1687 1928 2408 3374 6748 10363 13496 20726 41452 72541 82904 145082 290164 580328