345341640 has 128 divisors (see below), whose sum is σ = 1206524160. Its totient is φ = 77435904.

The previous prime is 345341639. The next prime is 345341641. The reversal of 345341640 is 46143543.

It is an interprime number because it is at equal distance from previous prime (345341639) and next prime (345341641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 345341598 and 345341607.

It is not an unprimeable number, because it can be changed into a prime (345341641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40642 + ... + 48398.

It is an arithmetic number, because the mean of its divisors is an integer number (9425970).

Almost surely, 2^345341640 is an apocalyptic number.

345341640 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 345341640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603262080).

345341640 is an abundant number, since it is smaller than the sum of its proper divisors (861182520).

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

345341640 is a wasteful number, since it uses less digits than its factorization.

345341640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7831 (or 7827 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 345341640 is about 18583.3699850162. The cubic root of 345341640 is about 701.5893410712.

The spelling of 345341640 in words is "three hundred forty-five million, three hundred forty-one thousand, six hundred forty".