345652140 has 96 divisors (see below), whose sum is σ = 1005903360. Its totient is φ = 88614400.

The previous prime is 345652133. The next prime is 345652141. The reversal of 345652140 is 41256543.

345652140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 345652098 and 345652107.

It is not an unprimeable number, because it can be changed into a prime (345652141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173671 + ... + 175649.

It is an arithmetic number, because the mean of its divisors is an integer number (10478160).

Almost surely, 2^345652140 is an apocalyptic number.

345652140 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 345652140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502951680).

345652140 is an abundant number, since it is smaller than the sum of its proper divisors (660251220).

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

345652140 is a wasteful number, since it uses less digits than its factorization.

345652140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 345652140 is about 18591.7223516273. The cubic root of 345652140 is about 701.7995466661.

The spelling of 345652140 in words is "three hundred forty-five million, six hundred fifty-two thousand, one hundred forty".