354016 has 48 divisors (see below), whose sum is σ = 804384. Its totient is φ = 152064.

The previous prime is 354007. The next prime is 354017. The reversal of 354016 is 610453.

354016 = 3³ + 4³ + ... + 34³.

It is a junction number, because it is equal to n+sod(n) for n = 353984 and 354002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9550 + ... + 9586.

It is an arithmetic number, because the mean of its divisors is an integer number (16758).

2³⁵⁴⁰¹⁶ 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 354016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402192).

354016 is an abundant number, since it is smaller than the sum of its proper divisors (450368).

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

354016 is a wasteful number, since it uses less digits than its factorization.

354016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 354016 is about 594.9924369267. The cubic root of 354016 is about 70.7415053043.

Adding to 354016 its reverse (610453), we get a palindrome (964469).

The spelling of 354016 in words is "three hundred fifty-four thousand, sixteen".