How Do You SUM The Fields Retrieved By COUNT?

I am trying to do this in MS Access actually but it is an SQL question.

This query:

SELECT LoanNo, COUNT(LoanNo) AS 'Count'
FROM DedupTest031504
GROUP BY LoanNo
HAVING COUNT(LoanNo) > 1;


returns:
LoanNo Count
46690128 2
46861821 2
47762138 3
47762154 3
48257239 2
48257663 2
48257719 2
48258143 2
48258167 2

which is correct but how do you SUM the COUNT field? In other words, I want the total number of duplicate records in the table. Is there another way alltogether?

I tried:

SELECT LoanNo, SUM(COUNT(LoanNo))
FROM DedupTest031504
GROUP BY LoanNo
HAVING COUNT(LoanNo) > 1;

but I get a "CANNOT HAVE AGGREGATE FUNCTION IN 'SUM(COUNT(LoanNo))' error.

Thanks.

ddave