30106944 has 224 divisors, whose sum is σ = 107289600. Its totient is φ = 8087040.

The previous prime is 30106943. The next prime is 30106969. The reversal of 30106944 is 44960103.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30106943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229759 + ... + 229889.

Almost surely, 2^30106944 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 30106944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53644800).

30106944 is an abundant number, since it is smaller than the sum of its proper divisors (77182656).

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

30106944 is a wasteful number, since it uses less digits than its factorization.

30106944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30106944 is about 5486.9794969546. The cubic root of 30106944 is about 311.0920348092.

The spelling of 30106944 in words is "thirty million, one hundred six thousand, nine hundred forty-four".