342414432 has 96 divisors (see below), whose sum is σ = 1042191360. Its totient is φ = 109169280.

The previous prime is 342414431. The next prime is 342414433. The reversal of 342414432 is 234414243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (342414431) and next prime (342414433).

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 342414396 and 342414405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342414431) 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 15 ways as a sum of consecutive naturals, for example, 11257 + ... + 28487.

It is an arithmetic number, because the mean of its divisors is an integer number (10856160).

Almost surely, 2^342414432 is an apocalyptic number.

342414432 is a gapful number since it is divisible by the number (32) 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 342414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521095680).

342414432 is an abundant number, since it is smaller than the sum of its proper divisors (699776928).

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

342414432 is a wasteful number, since it uses less digits than its factorization.

342414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17273 (or 17259 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 342414432 is about 18504.4435744499. The cubic root of 342414432 is about 699.6014275220.

Adding to 342414432 its reverse (234414243), we get a palindrome (576828675).

The spelling of 342414432 in words is "three hundred forty-two million, four hundred fourteen thousand, four hundred thirty-two".