345140928 has 336 divisors, whose sum is σ = 1179210240. Its totient is φ = 95385600.

The previous prime is 345140903. The next prime is 345140933. The reversal of 345140928 is 829041543.

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

It is a junction number, because it is equal to n+sod(n) for n = 345140892 and 345140901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5658018 + ... + 5658078.

Almost surely, 2^345140928 is an apocalyptic number.

345140928 is a gapful number since it is divisible by the number (38) 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 345140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589605120).

345140928 is an abundant number, since it is smaller than the sum of its proper divisors (834069312).

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

345140928 is a wasteful number, since it uses less digits than its factorization.

345140928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 345140928 is about 18577.9688879059. The cubic root of 345140928 is about 701.4533938688.

The spelling of 345140928 in words is "three hundred forty-five million, one hundred forty thousand, nine hundred twenty-eight".