1429344 has 72 divisors (see below), whose sum is σ = 4651920. Its totient is φ = 407808.

The previous prime is 1429319. The next prime is 1429349. The reversal of 1429344 is 4439241.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429349) 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, 1662 + ... + 2370.

It is an arithmetic number, because the mean of its divisors is an integer number (64610).

2^1429344 is an apocalyptic number.

1429344 is a gapful number since it is divisible by the number (14) 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 1429344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325960).

1429344 is an abundant number, since it is smaller than the sum of its proper divisors (3222576).

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

1429344 is a wasteful number, since it uses less digits than its factorization.

1429344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 721 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 1429344 is about 1195.5517554669. The cubic root of 1429344 is about 112.6450868807.

The spelling of 1429344 in words is "one million, four hundred twenty-nine thousand, three hundred forty-four".