314334020 has 144 divisors (see below), whose sum is σ = 902518848. Its totient is φ = 90397440.

The previous prime is 314334019. The next prime is 314334023. The reversal of 314334020 is 20433413.

It is a super-2 number, since 2×314334020² = 197611752258720800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 314333983 and 314334001.

It is not an unprimeable number, because it can be changed into a prime (314334023) 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, 139019 + ... + 141261.

It is an arithmetic number, because the mean of its divisors is an integer number (6267492).

Almost surely, 2^314334020 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 314334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451259424).

314334020 is an abundant number, since it is smaller than the sum of its proper divisors (588184828).

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

314334020 is a wasteful number, since it uses less digits than its factorization.

314334020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 314334020 is about 17729.4675610973. The cubic root of 314334020 is about 679.9293611744.

Adding to 314334020 its reverse (20433413), we get a palindrome (334767433).

It can be divided in two parts, 31433 and 4020, that added together give a palindrome (35453).

The spelling of 314334020 in words is "three hundred fourteen million, three hundred thirty-four thousand, twenty".