248744034 has 288 divisors, whose sum is σ = 772402176. Its totient is φ = 58164480.

The previous prime is 248744033. The next prime is 248744047. The reversal of 248744034 is 430447842.

It is a happy number.

248744034 is a `hidden beast` number, since 248 + 7 + 4 + 403 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 248744034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248744033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10814947 + ... + 10814969.

It is an arithmetic number, because the mean of its divisors is an integer number (2681952).

Almost surely, 2^248744034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248744034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386201088).

248744034 is an abundant number, since it is smaller than the sum of its proper divisors (523658142).

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

248744034 is a wasteful number, since it uses less digits than its factorization.

248744034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 248744034 is about 15771.6211595384. The cubic root of 248744034 is about 628.9038080319.

The spelling of 248744034 in words is "two hundred forty-eight million, seven hundred forty-four thousand, thirty-four".