1023200340 has 96 divisors (see below), whose sum is σ = 2954133504. Its totient is φ = 264474240.

The previous prime is 1023200327. The next prime is 1023200363. The reversal of 1023200340 is 430023201.

It is a super-2 number, since 2×1023200340² = 2093877871552231200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300045 + ... + 303435.

It is an arithmetic number, because the mean of its divisors is an integer number (30772224).

Almost surely, 2^1023200340 is an apocalyptic number.

1023200340 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 1023200340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477066752).

1023200340 is an abundant number, since it is smaller than the sum of its proper divisors (1930933164).

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

1023200340 is a wasteful number, since it uses less digits than its factorization.

1023200340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1023200340 is about 31987.5028722156. The cubic root of 1023200340 is about 1007.6743995927.

Adding to 1023200340 its reverse (430023201), we get a palindrome (1453223541).

The spelling of 1023200340 in words is "one billion, twenty-three million, two hundred thousand, three hundred forty".