345259152 has 320 divisors, whose sum is σ = 1218969600. Its totient is φ = 91445760.

The previous prime is 345259111. The next prime is 345259157. The reversal of 345259152 is 251952543.

It is a happy number.

345259152 is a `hidden beast` number, since 3 + 452 + 59 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (345259157) 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 63 ways as a sum of consecutive naturals, for example, 2718513 + ... + 2718639.

It is an arithmetic number, because the mean of its divisors is an integer number (3809280).

Almost surely, 2^345259152 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 345259152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609484800).

345259152 is an abundant number, since it is smaller than the sum of its proper divisors (873710448).

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

345259152 is a wasteful number, since it uses less digits than its factorization.

345259152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 345259152 is about 18581.1504487747. The cubic root of 345259152 is about 701.5334762857.

The spelling of 345259152 in words is "three hundred forty-five million, two hundred fifty-nine thousand, one hundred fifty-two".