342024320 has 128 divisors (see below), whose sum is σ = 939297600. Its totient is φ = 117780480.

The previous prime is 342024307. The next prime is 342024341. The reversal of 342024320 is 23420243.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 342024292 and 342024301.

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, 132482 + ... + 135038.

Almost surely, 2^342024320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469648800).

342024320 is an abundant number, since it is smaller than the sum of its proper divisors (597273280).

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

342024320 is a wasteful number, since it uses less digits than its factorization.

342024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 342024320 is about 18493.8995347114. The cubic root of 342024320 is about 699.3356417771.

Adding to 342024320 its reverse (23420243), we get a palindrome (365444563).

It can be divided in two parts, 3420 and 24320, that multiplied together give a square (83174400 = 9120²).

The spelling of 342024320 in words is "three hundred forty-two million, twenty-four thousand, three hundred twenty".