30714144 has 48 divisors (see below), whose sum is σ = 82813248. Its totient is φ = 9960192.

The previous prime is 30714119. The next prime is 30714157. The reversal of 30714144 is 44141703.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 772 + ... + 7875.

It is an arithmetic number, because the mean of its divisors is an integer number (1725276).

Almost surely, 2^30714144 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 30714144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41406624).

30714144 is an abundant number, since it is smaller than the sum of its proper divisors (52099104).

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

30714144 is a wasteful number, since it uses less digits than its factorization.

30714144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8697 (or 8689 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 30714144 is about 5542.0342835461. The cubic root of 30714144 is about 313.1695094517.

Adding to 30714144 its reverse (44141703), we get a palindrome (74855847).

The spelling of 30714144 in words is "thirty million, seven hundred fourteen thousand, one hundred forty-four".