354024 has 64 divisors (see below), whose sum is σ = 1080000. Its totient is φ = 106560.

The previous prime is 354023. The next prime is 354031. The reversal of 354024 is 420453.

354024 = 2³ + 3³ + ... + 34³.

It is a happy number.

It is a Cunningham number, because it is equal to 595²-1.

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

It is a junction number, because it is equal to n+sod(n) for n = 353988 and 354006.

It is not an unprimeable number, because it can be changed into a prime (354023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2302 + ... + 2450.

It is an arithmetic number, because the mean of its divisors is an integer number (16875).

2³⁵⁴⁰²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540000).

354024 is an abundant number, since it is smaller than the sum of its proper divisors (725976).

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

354024 is a wasteful number, since it uses less digits than its factorization.

354024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 354024 is about 594.9991596633. Note that the first 3 decimals coincide. The cubic root of 354024 is about 70.7420381689.

Adding to 354024 its reverse (420453), we get a palindrome (774477).

The spelling of 354024 in words is "three hundred fifty-four thousand, twenty-four".