273742240 has 48 divisors (see below), whose sum is σ = 662505480. Its totient is φ = 106823680.

The previous prime is 273742237. The next prime is 273742247. The reversal of 273742240 is 42247372.

273742240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 74028816 + 199713424 = 8604^2 + 14132^2 .

It is not an unprimeable number, because it can be changed into a prime (273742247) by changing a digit.

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, 14305 + ... + 27424.

Almost surely, 2^273742240 is an apocalyptic number.

273742240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

273742240 is an abundant number, since it is smaller than the sum of its proper divisors (388763240).

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

273742240 is a wasteful number, since it uses less digits than its factorization.

273742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41785 (or 41777 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 31.

The square root of 273742240 is about 16545.1575997329. The cubic root of 273742240 is about 649.3027948352.

The spelling of 273742240 in words is "two hundred seventy-three million, seven hundred forty-two thousand, two hundred forty".