1133434320 has 160 divisors (see below), whose sum is σ = 3644826240. Its totient is φ = 291133440.

The previous prime is 1133434279. The next prime is 1133434331. The reversal of 1133434320 is 234343311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967335 + ... + 968505.

It is an arithmetic number, because the mean of its divisors is an integer number (22780164).

Almost surely, 2^1133434320 is an apocalyptic number.

1133434320 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 1133434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822413120).

1133434320 is an abundant number, since it is smaller than the sum of its proper divisors (2511391920).

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

1133434320 is a wasteful number, since it uses less digits than its factorization.

1133434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 1133434320 is about 33666.5163032946. The cubic root of 1133434320 is about 1042.6345679104.

Adding to 1133434320 its reverse (234343311), we get a palindrome (1367777631).

It can be divided in two parts, 11334 and 34320, that added together give a palindrome (45654).

The spelling of 1133434320 in words is "one billion, one hundred thirty-three million, four hundred thirty-four thousand, three hundred twenty".