1314284032 has 80 divisors (see below), whose sum is σ = 2757680640. Its totient is φ = 624566272.

The previous prime is 1314284021. The next prime is 1314284039. The reversal of 1314284032 is 2304824131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314284039) 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 7 ways as a sum of consecutive naturals, for example, 2743569 + ... + 2744047.

It is an arithmetic number, because the mean of its divisors is an integer number (34471008).

Almost surely, 2^1314284032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314284032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378840320).

1314284032 is an abundant number, since it is smaller than the sum of its proper divisors (1443396608).

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

1314284032 is an equidigital number, since it uses as much as digits as its factorization.

1314284032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1314284032 is about 36253.0554850208. The cubic root of 1314284032 is about 1095.3756367115.

It can be divided in two parts, 131428 and 4032, that added together give a triangular number (135460 = T₅₂₀).

The spelling of 1314284032 in words is "one billion, three hundred fourteen million, two hundred eighty-four thousand, thirty-two".