340416 has 56 divisors (see below), whose sum is σ = 1005840. Its totient is φ = 112896.

The previous prime is 340409. The next prime is 340429. The reversal of 340416 is 614043.

It is a super-3 number, since 3×340416³ = 118345336167333888, which contains 333 as substring.

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

340416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1630 + ... + 1826.

2³⁴⁰⁴¹⁶ is an apocalyptic number.

340416 is a gapful number since it is divisible by the number (36) 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 340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502920).

340416 is an abundant number, since it is smaller than the sum of its proper divisors (665424).

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

340416 is a wasteful number, since it uses less digits than its factorization.

340416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 340416 is about 583.4517974949. The cubic root of 340416 is about 69.8237744100.

Adding to 340416 its reverse (614043), we get a palindrome (954459).

The spelling of 340416 in words is "three hundred forty thousand, four hundred sixteen".