1045345288 has 64 divisors (see below), whose sum is σ = 2186578800. Its totient is φ = 465454080.

The previous prime is 1045345267. The next prime is 1045345297. The reversal of 1045345288 is 8825435401.

It can be written as a sum of positive squares in 8 ways, for example, as 52969284 + 992376004 = 7278^2 + 31502^2 .

It is a super-3 number, since 3×1045345288³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1045345288.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334678 + ... + 337786.

Almost surely, 2^1045345288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045345288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093289400).

1045345288 is an abundant number, since it is smaller than the sum of its proper divisors (1141233512).

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

1045345288 is a wasteful number, since it uses less digits than its factorization.

1045345288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 1045345288 is about 32331.7999498945. The cubic root of 1045345288 is about 1014.8922169516.

The spelling of 1045345288 in words is "one billion, forty-five million, three hundred forty-five thousand, two hundred eighty-eight".