234034800 has 60 divisors (see below), whose sum is σ = 749695320. Its totient is φ = 62408960.

The previous prime is 234034741. The next prime is 234034813. The reversal of 234034800 is 8430432.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×234034800² = 109544575222080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96315 + ... + 98714.

It is an arithmetic number, because the mean of its divisors is an integer number (12494922).

Almost surely, 2^234034800 is an apocalyptic number.

234034800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234034800 is an abundant number, since it is smaller than the sum of its proper divisors (515660520).

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

234034800 is a wasteful number, since it uses less digits than its factorization.

234034800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195050 (or 195039 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 234034800 is about 15298.1959720746. The cubic root of 234034800 is about 616.2545611178.

It can be divided in two parts, 23403 and 4800, that added together give a triangular number (28203 = T₂₃₇).

The spelling of 234034800 in words is "two hundred thirty-four million, thirty-four thousand, eight hundred".