234762240 has 104 divisors (see below), whose sum is σ = 751344048. Its totient is φ = 62586880.

The previous prime is 234762223. The next prime is 234762289. The reversal of 234762240 is 42267432.

It is a super-2 number, since 2×234762240² = 110226618659635200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 234762198 and 234762207.

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, 59530 + ... + 63350.

It is an arithmetic number, because the mean of its divisors is an integer number (7224462).

Almost surely, 2^234762240 is an apocalyptic number.

234762240 is a gapful number since it is divisible by the number (20) 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 234762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375672024).

234762240 is an abundant number, since it is smaller than the sum of its proper divisors (516581808).

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

234762240 is an equidigital number, since it uses as much as digits as its factorization.

234762240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 234762240 is about 15321.9528781419. The cubic root of 234762240 is about 616.8923929752.

The spelling of 234762240 in words is "two hundred thirty-four million, seven hundred sixty-two thousand, two hundred forty".