The number of issued shares is recorded on a company's balance sheet as capital stock or owners' equity, while the shares outstanding (issued shares minus any shares in the treasury) are listed on the company's quarterly filings with the Securities and Exchange Commission.
In these cases, the shares should be recorded at the fair value of the asset acquired or service received. Note that this treatment is different than the treatment of non-monetary exchanges of assets, where the fair value of the asset given up is normally used as the transaction amount.