193340 has 24 divisors (see below), whose sum is σ = 464352. Its totient is φ = 66240.

The previous prime is 193337. The next prime is 193357. The reversal of 193340 is 43391.

193340 = T₁₅₃ + T₁₅₄ + ... + T₁₆₇.

193340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551 + ... + 830.

It is an arithmetic number, because the mean of its divisors is an integer number (19348).

2¹⁹³³⁴⁰ is an apocalyptic number.

193340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193340 is an abundant number, since it is smaller than the sum of its proper divisors (271012).

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

193340 is a wasteful number, since it uses less digits than its factorization.

193340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 193340 is about 439.7044461908. The cubic root of 193340 is about 57.8238811292.

The spelling of 193340 in words is "one hundred ninety-three thousand, three hundred forty".