13743400 has 48 divisors (see below), whose sum is σ = 34863840. Its totient is φ = 4996800.

The previous prime is 13743383. The next prime is 13743407. The reversal of 13743400 is 434731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (13743407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 924 + ... + 5323.

It is an arithmetic number, because the mean of its divisors is an integer number (726330).

Almost surely, 2^13743400 is an apocalyptic number.

13743400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13743400 is an abundant number, since it is smaller than the sum of its proper divisors (21120440).

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

13743400 is a wasteful number, since it uses less digits than its factorization.

13743400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6274 (or 6265 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 13743400 is about 3707.2091929105. The cubic root of 13743400 is about 239.5326553596.

It can be divided in two parts, 1374 and 3400, that added together give a palindrome (4774).

The spelling of 13743400 in words is "thirteen million, seven hundred forty-three thousand, four hundred".