234813744 has 120 divisors (see below), whose sum is σ = 730680912. Its totient is φ = 69788160.

The previous prime is 234813743. The next prime is 234813749. The reversal of 234813744 is 447318432.

234813744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 234813699 and 234813708.

It is not an unprimeable number, because it can be changed into a prime (234813743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82554 + ... + 85350.

Almost surely, 2^234813744 is an apocalyptic number.

234813744 is a gapful number since it is divisible by the number (24) 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 234813744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365340456).

234813744 is an abundant number, since it is smaller than the sum of its proper divisors (495867168).

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

234813744 is a wasteful number, since it uses less digits than its factorization.

234813744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2866 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 234813744 is about 15323.6335116708. The cubic root of 234813744 is about 616.9375025899.

It can be divided in two parts, 23481 and 3744, that added together give a square (27225 = 165²).

The spelling of 234813744 in words is "two hundred thirty-four million, eight hundred thirteen thousand, seven hundred forty-four".