340272000 has 384 divisors, whose sum is σ = 1303192800. Its totient is φ = 84787200.

The previous prime is 340271999. The next prime is 340272011. The reversal of 340272000 is 272043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2447931 + ... + 2448069.

Almost surely, 2^340272000 is an apocalyptic number.

340272000 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 340272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651596400).

340272000 is an abundant number, since it is smaller than the sum of its proper divisors (962920800).

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

340272000 is a wasteful number, since it uses less digits than its factorization.

340272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 340272000 is about 18446.4630756143. The cubic root of 340272000 is about 698.1392759353.

The spelling of 340272000 in words is "three hundred forty million, two hundred seventy-two thousand".