In this paper, the authors present an improved privacy preserving public auditing protocol for secure cloud storage, which is based on unpadded RSA based public auditing. Many protocols have been proposed to secure cloud storage. However, many issues such as enabling worry free public auditing, user data privacy and additional online burden to users. Thus in this paper, the authors propose a secure cloud storage system supporting privacy preserving unpadded RSA based public auditing. The proposed protocol solves all the above mentioned issues and additionally batch auditability is done.