202429344 has 96 divisors (see below), whose sum is σ = 602441280. Its totient is φ = 59000832.

The previous prime is 202429327. The next prime is 202429361. The reversal of 202429344 is 443924202.

202429344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202429327) and next prime (202429361).

It is a tau number, because it is divible by the number of its divisors (96).

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, 19444 + ... + 27980.

It is an arithmetic number, because the mean of its divisors is an integer number (6275430).

Almost surely, 2^202429344 is an apocalyptic number.

202429344 is a gapful number since it is divisible by the number (24) 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 202429344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301220640).

202429344 is an abundant number, since it is smaller than the sum of its proper divisors (400011936).

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

202429344 is a wasteful number, since it uses less digits than its factorization.

202429344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8582 (or 8574 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 202429344 is about 14227.7666553820. The cubic root of 202429344 is about 587.1618397394.

The spelling of 202429344 in words is "two hundred two million, four hundred twenty-nine thousand, three hundred forty-four".