202142340 has 72 divisors (see below), whose sum is σ = 617362200. Its totient is φ = 53535744.

The previous prime is 202142327. The next prime is 202142357. The reversal of 202142340 is 43241202.

202142340 is a `hidden beast` number, since 202 + 1 + 423 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 956484 + 201185856 = 978^2 + 14184^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23052 + ... + 30588.

It is an arithmetic number, because the mean of its divisors is an integer number (8574475).

Almost surely, 2^202142340 is an apocalyptic number.

202142340 is a gapful number since it is divisible by the number (20) 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 202142340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308681100).

202142340 is an abundant number, since it is smaller than the sum of its proper divisors (415219860).

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

202142340 is a wasteful number, since it uses less digits than its factorization.

202142340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7701 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 202142340 is about 14217.6770254497. The cubic root of 202142340 is about 586.8842161210.

Adding to 202142340 its reverse (43241202), we get a palindrome (245383542).

The spelling of 202142340 in words is "two hundred two million, one hundred forty-two thousand, three hundred forty".