331364034 has 112 divisors (see below), whose sum is σ = 818044920. Its totient is φ = 100154880.

The previous prime is 331364021. The next prime is 331364039. The reversal of 331364034 is 430463133.

331364034 is a `hidden beast` number, since 3 + 3 + 13 + 640 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 297666009 + 33698025 = 17253^2 + 5805^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 331363989 and 331364007.

It is not an unprimeable number, because it can be changed into a prime (331364039) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 718564 + ... + 719024.

Almost surely, 2^331364034 is an apocalyptic number.

331364034 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331364034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409022460).

331364034 is an abundant number, since it is smaller than the sum of its proper divisors (486680886).

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

331364034 is a wasteful number, since it uses less digits than its factorization.

331364034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 331364034 is about 18203.4072085420. The cubic root of 331364034 is about 691.9931406428.

Subtracting 331364034 from its reverse (430463133), we obtain a palindrome (99099099).

The spelling of 331364034 in words is "three hundred thirty-one million, three hundred sixty-four thousand, thirty-four".