234033408 has 216 divisors, whose sum is σ = 806235360. Its totient is φ = 66769920.

The previous prime is 234033389. The next prime is 234033427. The reversal of 234033408 is 804330432.

It is an interprime number because it is at equal distance from previous prime (234033389) and next prime (234033427).

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338343 + ... + 339033.

Almost surely, 2^234033408 is an apocalyptic number.

234033408 is a gapful number since it is divisible by the number (28) 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 234033408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403117680).

234033408 is an abundant number, since it is smaller than the sum of its proper divisors (572201952).

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

234033408 is an equidigital number, since it uses as much as digits as its factorization.

234033408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 234033408 is about 15298.1504764465. The cubic root of 234033408 is about 616.2533393223.

The spelling of 234033408 in words is "two hundred thirty-four million, thirty-three thousand, four hundred eight".