340356000 has 192 divisors, whose sum is σ = 1129355136. Its totient is φ = 89600000.

The previous prime is 340355989. The next prime is 340356011. The reversal of 340356000 is 653043.

It is an interprime number because it is at equal distance from previous prime (340355989) and next prime (340356011).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1355875 + ... + 1356125.

It is an arithmetic number, because the mean of its divisors is an integer number (5882058).

Almost surely, 2^340356000 is an apocalyptic number.

340356000 is a gapful number since it is divisible by the number (30) 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 340356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564677568).

340356000 is an abundant number, since it is smaller than the sum of its proper divisors (788999136).

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

340356000 is a wasteful number, since it uses less digits than its factorization.

340356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 340356000 is about 18448.7397943599. The cubic root of 340356000 is about 698.1967190732.

The spelling of 340356000 in words is "three hundred forty million, three hundred fifty-six thousand".