40345000 has 40 divisors (see below), whose sum is σ = 94540050. Its totient is φ = 16136000.

The previous prime is 40344971. The next prime is 40345001. The reversal of 40345000 is 54304.

It can be written as a sum of positive squares in 5 ways, for example, as 2669956 + 37675044 = 1634^2 + 6138^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (40345001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 966 + ... + 9034.

Almost surely, 2^40345000 is an apocalyptic number.

40345000 is a gapful number since it is divisible by the number (40) 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 40345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47270025).

40345000 is an abundant number, since it is smaller than the sum of its proper divisors (54195050).

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

40345000 is an equidigital number, since it uses as much as digits as its factorization.

40345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8095 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 40345000 is about 6351.7714064661. The cubic root of 40345000 is about 342.9756121684.

Adding to 40345000 its reverse (54304), we get a palindrome (40399304).

The spelling of 40345000 in words is "forty million, three hundred forty-five thousand".