314361102 has 128 divisors (see below), whose sum is σ = 764328960. Its totient is φ = 85155840.

The previous prime is 314361097. The next prime is 314361107. The reversal of 314361102 is 201163413.

314361102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (314361097) and next prime (314361107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314361107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1628718 + ... + 1628910.

It is an arithmetic number, because the mean of its divisors is an integer number (5971320).

Almost surely, 2^314361102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314361102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382164480).

314361102 is an abundant number, since it is smaller than the sum of its proper divisors (449967858).

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

314361102 is a wasteful number, since it uses less digits than its factorization.

314361102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 314361102 is about 17730.2313013677. The cubic root of 314361102 is about 679.9488874500.

The spelling of 314361102 in words is "three hundred fourteen million, three hundred sixty-one thousand, one hundred two".