345982140 has 108 divisors (see below), whose sum is σ = 1220853816. Its totient is φ = 79079616.

The previous prime is 345982139. The next prime is 345982183. The reversal of 345982140 is 41289543.

345982140 is a `hidden beast` number, since 3 + 4 + 598 + 21 + 40 = 666.

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 = 345982095 and 345982104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10794 + ... + 28433.

It is an arithmetic number, because the mean of its divisors is an integer number (11304202).

Almost surely, 2^345982140 is an apocalyptic number.

345982140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345982140 is an abundant number, since it is smaller than the sum of its proper divisors (874871676).

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

345982140 is a wasteful number, since it uses less digits than its factorization.

345982140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39256 (or 39244 counting only the distinct ones).

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

The square root of 345982140 is about 18600.5951517687. The cubic root of 345982140 is about 702.0228156317.

The spelling of 345982140 in words is "three hundred forty-five million, nine hundred eighty-two thousand, one hundred forty".