340153296 has 120 divisors (see below), whose sum is σ = 1057655520. Its totient is φ = 93816576.

The previous prime is 340153291. The next prime is 340153301. The reversal of 340153296 is 692351043.

340153296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (340153291) and next prime (340153301).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340153291) 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, 65715 + ... + 70701.

It is an arithmetic number, because the mean of its divisors is an integer number (8813796).

Almost surely, 2^340153296 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 340153296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528827760).

340153296 is an abundant number, since it is smaller than the sum of its proper divisors (717502224).

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

340153296 is a wasteful number, since it uses less digits than its factorization.

340153296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 340153296 is about 18443.2452675770. The cubic root of 340153296 is about 698.0580844541.

The spelling of 340153296 in words is "three hundred forty million, one hundred fifty-three thousand, two hundred ninety-six".