1344331100 has 144 divisors (see below), whose sum is σ = 3555897408. Its totient is φ = 430632960.

The previous prime is 1344331097. The next prime is 1344331103. The reversal of 1344331100 is 11334431.

It is an interprime number because it is at equal distance from previous prime (1344331097) and next prime (1344331103).

It is a super-2 number, since 2×1344331100² = 3614452212854420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344331103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2058374 + ... + 2059026.

It is an arithmetic number, because the mean of its divisors is an integer number (24693732).

Almost surely, 2^1344331100 is an apocalyptic number.

1344331100 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 1344331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777948704).

1344331100 is an abundant number, since it is smaller than the sum of its proper divisors (2211566308).

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

1344331100 is a wasteful number, since it uses less digits than its factorization.

1344331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1344331100 is about 36665.1210280288. The cubic root of 1344331100 is about 1103.6602861072.

Adding to 1344331100 its reverse (11334431), we get a palindrome (1355665531).

It can be divided in two parts, 1344331 and 100, that added together give a palindrome (1344431).

The spelling of 1344331100 in words is "one billion, three hundred forty-four million, three hundred thirty-one thousand, one hundred".