34351312 has 40 divisors (see below), whose sum is σ = 69627240. Its totient is φ = 16396800.

The previous prime is 34351309. The next prime is 34351327. The reversal of 34351312 is 21315343.

It can be written as a sum of positive squares in 4 ways, for example, as 24840256 + 9511056 = 4984^2 + 3084^2 .

It is a super-2 number, since 2×34351312² = 2360025272242688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46498 + ... + 47230.

It is an arithmetic number, because the mean of its divisors is an integer number (1740681).

Almost surely, 2^34351312 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 34351312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34813620).

34351312 is an abundant number, since it is smaller than the sum of its proper divisors (35275928).

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

34351312 is a wasteful number, since it uses less digits than its factorization.

34351312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 865 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 34351312 is about 5860.9992322129. Note that the first 3 decimals coincide. The cubic root of 34351312 is about 325.0731574955.

Adding to 34351312 its reverse (21315343), we get a palindrome (55666655).

The spelling of 34351312 in words is "thirty-four million, three hundred fifty-one thousand, three hundred twelve".