345016 has 32 divisors (see below), whose sum is σ = 758880. Its totient is φ = 144000.

The previous prime is 345011. The next prime is 345017. The reversal of 345016 is 610543.

345016 = 219² + 220² + ... + 225².

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 344984 and 345002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345011) by changing a digit.

345016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3366 + ... + 3466.

It is an arithmetic number, because the mean of its divisors is an integer number (23715).

2³⁴⁵⁰¹⁶ 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 345016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379440).

345016 is an abundant number, since it is smaller than the sum of its proper divisors (413864).

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

345016 is a wasteful number, since it uses less digits than its factorization.

345016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

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

The square root of 345016 is about 587.3806261701. The cubic root of 345016 is about 70.1368750430.

Adding to 345016 its reverse (610543), we get a palindrome (955559).

It can be divided in two parts, 34 and 5016, that added together give a triangular number (5050 = T₁₀₀).

The spelling of 345016 in words is "three hundred forty-five thousand, sixteen".