340312896 has 168 divisors, whose sum is σ = 1216298304. Its totient is φ = 88381440.

The previous prime is 340312873. The next prime is 340312897. The reversal of 340312896 is 698213043.

340312896 is a `hidden beast` number, since 340 + 31 + 289 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 340312896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340312897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40516 + ... + 48188.

Almost surely, 2^340312896 is an apocalyptic number.

340312896 is a gapful number since it is divisible by the number (36) 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 340312896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608149152).

340312896 is an abundant number, since it is smaller than the sum of its proper divisors (875985408).

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

340312896 is a wasteful number, since it uses less digits than its factorization.

340312896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7709 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 340312896 is about 18447.5715474964. The cubic root of 340312896 is about 698.1672437180.

It can be divided in two parts, 340 and 312896, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 340312896 in words is "three hundred forty million, three hundred twelve thousand, eight hundred ninety-six".