30378240 has 180 divisors, whose sum is σ = 109069884. Its totient is φ = 8073216.

The previous prime is 30378211. The next prime is 30378247. The reversal of 30378240 is 4287303.

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 9144576 = 4608^2 + 3024^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (30378247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103534 + ... + 103826.

Almost surely, 2^30378240 is an apocalyptic number.

30378240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54534942).

30378240 is an abundant number, since it is smaller than the sum of its proper divisors (78691644).

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

30378240 is an equidigital number, since it uses as much as digits as its factorization.

30378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 30378240 is about 5511.6458521933. The cubic root of 30378240 is about 312.0236668438.

The spelling of 30378240 in words is "thirty million, three hundred seventy-eight thousand, two hundred forty".