354144 has 96 divisors (see below), whose sum is σ = 1161216. Its totient is φ = 92160.

The previous prime is 354143. The next prime is 354149. The reversal of 354144 is 441453.

354144 = T₁₂₇ + T₁₂₈ + ... + T₁₆₀.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

Its product of digits (960) is a multiple of the sum of its prime divisors (60).

It is a self number, because there is not a number n which added to its sum of digits gives 354144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354143) 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, 11409 + ... + 11439.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2³⁵⁴¹⁴⁴ is an apocalyptic number.

354144 is a gapful number since it is divisible by the number (34) 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 354144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580608).

354144 is an abundant number, since it is smaller than the sum of its proper divisors (807072).

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

354144 is a wasteful number, since it uses less digits than its factorization.

354144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 60 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 354144 is about 595.0999915981. The cubic root of 354144 is about 70.7500301748.

Adding to 354144 its reverse (441453), we get a palindrome (795597).

The spelling of 354144 in words is "three hundred fifty-four thousand, one hundred forty-four".