345643040 has 48 divisors (see below), whose sum is σ = 817772760. Its totient is φ = 138055680.

The previous prime is 345643013. The next prime is 345643049. The reversal of 345643040 is 40346543.

It can be written as a sum of positive squares in 4 ways, for example, as 319551376 + 26091664 = 17876^2 + 5108^2 .

It is a super-2 number, since 2×345643040² = 238938222200883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345642994 and 345643012.

It is not an unprimeable number, because it can be changed into a prime (345643049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160370 + ... + 162510.

Almost surely, 2^345643040 is an apocalyptic number.

It is an amenable number.

345643040 is an abundant number, since it is smaller than the sum of its proper divisors (472129720).

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

345643040 is a wasteful number, since it uses less digits than its factorization.

345643040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 345643040 is about 18591.4776174461. The cubic root of 345643040 is about 701.7933878423.

Adding to 345643040 its reverse (40346543), we get a palindrome (385989583).

The spelling of 345643040 in words is "three hundred forty-five million, six hundred forty-three thousand, forty".