345103440 has 160 divisors (see below), whose sum is σ = 1198958976. Its totient is φ = 81377280.

The previous prime is 345103433. The next prime is 345103453. The reversal of 345103440 is 44301543.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 345103440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95914 + ... + 99446.

Almost surely, 2^345103440 is an apocalyptic number.

345103440 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 345103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599479488).

345103440 is an abundant number, since it is smaller than the sum of its proper divisors (853855536).

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

345103440 is a wasteful number, since it uses less digits than its factorization.

345103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 345103440 is about 18576.9599235182. The cubic root of 345103440 is about 701.4279964781.

Adding to 345103440 its reverse (44301543), we get a palindrome (389404983).

It can be divided in two parts, 345103 and 440, that added together give a palindrome (345543).

The spelling of 345103440 in words is "three hundred forty-five million, one hundred three thousand, four hundred forty".