193793340 has 96 divisors (see below), whose sum is σ = 594086976. Its totient is φ = 46909440.

The previous prime is 193793333. The next prime is 193793357. The reversal of 193793340 is 43397391.

193793340 is digitally balanced in base 2, 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 (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45544 + ... + 49616.

It is an arithmetic number, because the mean of its divisors is an integer number (6188406).

Almost surely, 2^193793340 is an apocalyptic number.

193793340 is a gapful number since it is divisible by the number (10) 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 193793340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297043488).

193793340 is an abundant number, since it is smaller than the sum of its proper divisors (400293636).

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

193793340 is a wasteful number, since it uses less digits than its factorization.

193793340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4159 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 193793340 is about 13920.9676387814. The cubic root of 193793340 is about 578.6904063458.

The spelling of 193793340 in words is "one hundred ninety-three million, seven hundred ninety-three thousand, three hundred forty".