340401312 has 96 divisors (see below), whose sum is σ = 996105600. Its totient is φ = 113094144.

The previous prime is 340401253. The next prime is 340401323. The reversal of 340401312 is 213104043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×340401312² = 231746106422642688, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420364 + ... + 421172.

It is an arithmetic number, because the mean of its divisors is an integer number (10376100).

Almost surely, 2^340401312 is an apocalyptic number.

340401312 is a gapful number since it is divisible by the number (32) 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 340401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498052800).

340401312 is an abundant number, since it is smaller than the sum of its proper divisors (655704288).

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

340401312 is a wasteful number, since it uses less digits than its factorization.

340401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1301 counting only the distinct ones).

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

The square root of 340401312 is about 18449.9678048500. The cubic root of 340401312 is about 698.2277016188.

Adding to 340401312 its reverse (213104043), we get a palindrome (553505355).

It can be divided in two parts, 3404013 and 12, that added together give a square (3404025 = 1845²).

The spelling of 340401312 in words is "three hundred forty million, four hundred one thousand, three hundred twelve".