342145440 has 432 divisors, whose sum is σ = 1466593128. Its totient is φ = 71995392.

The previous prime is 342145439. The next prime is 342145457. The reversal of 342145440 is 44541243.

It is a happy number.

342145440 is a `hidden beast` number, since 3 + 4 + 214 + 5 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 221057424 + 121088016 = 14868^2 + 11004^2 .

It is a super-2 number, since 2×342145440² = 234127004225587200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 917094 + ... + 917466.

Almost surely, 2^342145440 is an apocalyptic number.

342145440 is a gapful number since it is divisible by the number (30) 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 342145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733296564).

342145440 is an abundant number, since it is smaller than the sum of its proper divisors (1124447688).

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

342145440 is a wasteful number, since it uses less digits than its factorization.

342145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 342145440 is about 18497.1738381840. The cubic root of 342145440 is about 699.4181832138.

Adding to 342145440 its reverse (44541243), we get a palindrome (386686683).

The spelling of 342145440 in words is "three hundred forty-two million, one hundred forty-five thousand, four hundred forty".