10354944 has 72 divisors (see below), whose sum is σ = 28043680. Its totient is φ = 3391488.

The previous prime is 10354937. The next prime is 10354957. The reversal of 10354944 is 44945301.

It is a super-3 number, since 3×10354944³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74427 + ... + 74565.

Almost surely, 2^10354944 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 10354944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14021840).

10354944 is an abundant number, since it is smaller than the sum of its proper divisors (17688736).

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

10354944 is an equidigital number, since it uses as much as digits as its factorization.

10354944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 10354944 is about 3217.9098806523. The cubic root of 10354944 is about 217.9629036561.

The spelling of 10354944 in words is "ten million, three hundred fifty-four thousand, nine hundred forty-four".