1023340320 has 144 divisors (see below), whose sum is σ = 3577529592. Its totient is φ = 266219520.

The previous prime is 1023340267. The next prime is 1023340327. The reversal of 1023340320 is 230433201.

1023340320 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 340 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 275427216 + 747913104 = 16596^2 + 27348^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1023340293 and 1023340302.

It is not an unprimeable number, because it can be changed into a prime (1023340327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50374 + ... + 67706.

Almost surely, 2^1023340320 is an apocalyptic number.

1023340320 is a gapful number since it is divisible by the number (10) 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 1023340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788764796).

1023340320 is an abundant number, since it is smaller than the sum of its proper divisors (2554189272).

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

1023340320 is a wasteful number, since it uses less digits than its factorization.

1023340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17395 (or 17384 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1023340320 is about 31989.6908393939. The cubic root of 1023340320 is about 1007.7203494831.

Adding to 1023340320 its reverse (230433201), we get a palindrome (1253773521).

The spelling of 1023340320 in words is "one billion, twenty-three million, three hundred forty thousand, three hundred twenty".