1000432314 has 72 divisors (see below), whose sum is σ = 2608512660. Its totient is φ = 275974272.

The previous prime is 1000432309. The next prime is 1000432351. The reversal of 1000432314 is 4132340001.

It can be written as a sum of positive squares in 2 ways, for example, as 962054289 + 38378025 = 31017^2 + 6195^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6022 + ... + 45134.

Almost surely, 2^1000432314 is an apocalyptic number.

1000432314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000432314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304256330).

1000432314 is an abundant number, since it is smaller than the sum of its proper divisors (1608080346).

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

1000432314 is a wasteful number, since it uses less digits than its factorization.

1000432314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39164 (or 39154 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1000432314 is about 31629.6113475964. The cubic root of 1000432314 is about 1000.1440839055.

Adding to 1000432314 its reverse (4132340001), we get a palindrome (5132772315).

The spelling of 1000432314 in words is "one billion, four hundred thirty-two thousand, three hundred fourteen".