Get Object Type Code + C#

To get the Object type code dynamically using C#

public int GetObjectTypeCode(string entityName)
{
CrmMetaDataService.CrmAuthenticationToken token = new CrmMetaDataService.CrmAuthenticationToken();
token.AuthenticationType = 0;
token.OrganizationName = "NZ";

// Create the metadata Web service.
MetadataService metadataService = new MetadataService();
metadataService.CrmAuthenticationTokenValue = token;
metadataService.Credentials = System.Net.CredentialCache.DefaultCredentials;
metadataService.PreAuthenticate = true;

RetrieveEntityRequest entityRequest = new RetrieveEntityRequest();
entityRequest.RetrieveAsIfPublished = false;
entityRequest.LogicalName = entityName;
entityRequest.EntityItems = EntityItems.EntityOnly;
RetrieveEntityResponse entityResponse = (RetrieveEntityResponse)metadataService.Execute(entityRequest);

// Access the retrieved entity
EntityMetadata retrievedEntityMetadata = entityResponse.EntityMetadata;
return retrievedEntityMetadata.ObjectTypeCode.Value;

}