345942540 has 72 divisors (see below), whose sum is σ = 1094996448. Its totient is φ = 88239360.

The previous prime is 345942523. The next prime is 345942551. The reversal of 345942540 is 45249543.

It is a happy number.

345942540 is a `hidden beast` number, since 3 + 4 + 594 + 25 + 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 = 345942495 and 345942504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37641 + ... + 45920.

It is an arithmetic number, because the mean of its divisors is an integer number (15208284).

Almost surely, 2^345942540 is an apocalyptic number.

345942540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345942540 is an abundant number, since it is smaller than the sum of its proper divisors (749053908).

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

345942540 is a wasteful number, since it uses less digits than its factorization.

345942540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83599 (or 83594 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 345942540 is about 18599.5306392393. The cubic root of 345942540 is about 701.9960308539.

The spelling of 345942540 in words is "three hundred forty-five million, nine hundred forty-two thousand, five hundred forty".