193348240 has 80 divisors (see below), whose sum is σ = 473112576. Its totient is φ = 73382400.

The previous prime is 193348217. The next prime is 193348277. The reversal of 193348240 is 42843391.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×193348240² = 74767083822195200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 193348196 and 193348205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130705 + ... + 132175.

Almost surely, 2^193348240 is an apocalyptic number.

193348240 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 193348240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236556288).

193348240 is an abundant number, since it is smaller than the sum of its proper divisors (279764336).

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

193348240 is a wasteful number, since it uses less digits than its factorization.

193348240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 193348240 is about 13904.9717727150. The cubic root of 193348240 is about 578.2470258709.

The spelling of 193348240 in words is "one hundred ninety-three million, three hundred forty-eight thousand, two hundred forty".