332334000 has 240 divisors, whose sum is σ = 1194492000. Its totient is φ = 86054400.

The previous prime is 332333993. The next prime is 332334007. The reversal of 332334000 is 433233.

332334000 is a `hidden beast` number, since 3 + 323 + 340 + 0 + 0 = 666.

332334000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (332333993) and next prime (332334007).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×332334000² = 220891775112000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (332334007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665751 + ... + 666249.

It is an arithmetic number, because the mean of its divisors is an integer number (4977050).

Almost surely, 2^332334000 is an apocalyptic number.

332334000 is a gapful number since it is divisible by the number (30) 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 332334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597246000).

332334000 is an abundant number, since it is smaller than the sum of its proper divisors (862158000).

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

332334000 is a wasteful number, since it uses less digits than its factorization.

332334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 332334000 is about 18230.0301700244. The cubic root of 332334000 is about 692.6676817244.

Adding to 332334000 its reverse (433233), we get a palindrome (332767233).

The spelling of 332334000 in words is "three hundred thirty-two million, three hundred thirty-four thousand".