345001440 has 96 divisors (see below), whose sum is σ = 1242017280. Its totient is φ = 78856704.

The previous prime is 345001439. The next prime is 345001457. The reversal of 345001440 is 44100543.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 47980 + ... + 54699.

It is an arithmetic number, because the mean of its divisors is an integer number (12937680).

Almost surely, 2^345001440 is an apocalyptic number.

345001440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345001440 is an abundant number, since it is smaller than the sum of its proper divisors (897015840).

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

345001440 is a wasteful number, since it uses less digits than its factorization.

345001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102704 (or 102696 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 345001440 is about 18574.2143844632. The cubic root of 345001440 is about 701.3588841509.

Adding to 345001440 its reverse (44100543), we get a palindrome (389101983).

The spelling of 345001440 in words is "three hundred forty-five million, one thousand, four hundred forty".