1013434240 has 128 divisors (see below), whose sum is σ = 2982006720. Its totient is φ = 320716800.

The previous prime is 1013434231. The next prime is 1013434249. The reversal of 1013434240 is 424343101.

1013434240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1013434231) and next prime (1013434249).

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013434249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49540 + ... + 66940.

Almost surely, 2^1013434240 is an apocalyptic number.

1013434240 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 1013434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491003360).

1013434240 is an abundant number, since it is smaller than the sum of its proper divisors (1968572480).

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

1013434240 is a wasteful number, since it uses less digits than its factorization.

1013434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17440 (or 17428 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1013434240 is about 31834.4819339031. The cubic root of 1013434240 is about 1004.4581751385.

Adding to 1013434240 its reverse (424343101), we get a palindrome (1437777341).

The spelling of 1013434240 in words is "one billion, thirteen million, four hundred thirty-four thousand, two hundred forty".