314234100 has 144 divisors (see below), whose sum is σ = 1017365440. Its totient is φ = 83203200.

The previous prime is 314234083. The next prime is 314234101. The reversal of 314234100 is 1432413.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314234101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488379 + ... + 489021.

Almost surely, 2^314234100 is an apocalyptic number.

314234100 is a gapful number since it is divisible by the number (30) 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 314234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508682720).

314234100 is an abundant number, since it is smaller than the sum of its proper divisors (703131340).

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

314234100 is a wasteful number, since it uses less digits than its factorization.

314234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 834 counting only the distinct ones).

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

The square root of 314234100 is about 17726.6494296017. The cubic root of 314234100 is about 679.8573085833.

Adding to 314234100 its reverse (1432413), we get a palindrome (315666513).

The spelling of 314234100 in words is "three hundred fourteen million, two hundred thirty-four thousand, one hundred".