234026000 has 80 divisors (see below), whose sum is σ = 609471408. Its totient is φ = 86400000.

The previous prime is 234025973. The next prime is 234026033. The reversal of 234026000 is 620432.

234026000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 160478224 + 73547776 = 12668^2 + 8576^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 234026000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21500 + ... + 30500.

Almost surely, 2^234026000 is an apocalyptic number.

234026000 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 234026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304735704).

234026000 is an abundant number, since it is smaller than the sum of its proper divisors (375445408).

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

234026000 is a wasteful number, since it uses less digits than its factorization.

234026000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9037 (or 9021 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 234026000 is about 15297.9083537587. The cubic root of 234026000 is about 616.2468370413.

Adding to 234026000 its reverse (620432), we get a palindrome (234646432).

It can be divided in two parts, 2340 and 26000, that multiplied together give a square (60840000 = 7800²).

The spelling of 234026000 in words is "two hundred thirty-four million, twenty-six thousand".