1052377344 has 108 divisors (see below), whose sum is σ = 3076320156. Its totient is φ = 345931776.

The previous prime is 1052377327. The next prime is 1052377357. The reversal of 1052377344 is 4437732501.

It can be written as a sum of positive squares in 2 ways, for example, as 885657600 + 166719744 = 29760^2 + 12912^2 .

It is a super-2 number, since 2×1052377344² = 2214996148328988672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1052377299 and 1052377308.

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 11 ways as a sum of consecutive naturals, for example, 165064 + ... + 171320.

Almost surely, 2^1052377344 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 1052377344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538160078).

1052377344 is an abundant number, since it is smaller than the sum of its proper divisors (2023942812).

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

1052377344 is an equidigital number, since it uses as much as digits as its factorization.

1052377344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6352 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 1052377344 is about 32440.3659658765. The cubic root of 1052377344 is about 1017.1628655264.

The spelling of 1052377344 in words is "one billion, fifty-two million, three hundred seventy-seven thousand, three hundred forty-four".