345983040 has 168 divisors, whose sum is σ = 1281717528. Its totient is φ = 85155840.

The previous prime is 345982991. The next prime is 345983081. The reversal of 345983040 is 40389543.

345983040 is a `hidden beast` number, since 34 + 598 + 30 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70157376 + 275825664 = 8376^2 + 16608^2 .

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 = 345982986 and 345983004.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 32820 + ... + 42060.

It is an arithmetic number, because the mean of its divisors is an integer number (7629271).

Almost surely, 2^345983040 is an apocalyptic number.

345983040 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 345983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640858764).

345983040 is an abundant number, since it is smaller than the sum of its proper divisors (935734488).

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

345983040 is a wasteful number, since it uses less digits than its factorization.

345983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9277 (or 9264 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 345983040 is about 18600.6193445272. The cubic root of 345983040 is about 702.0234243529.

The spelling of 345983040 in words is "three hundred forty-five million, nine hundred eighty-three thousand, forty".