340083200 has 90 divisors (see below), whose sum is σ = 847783629. Its totient is φ = 135198720.

The previous prime is 340083179. The next prime is 340083209. The reversal of 340083200 is 2380043.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 333281536 + 6801664 = 18256^2 + 2608^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=13040.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (340083209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2086319 + ... + 2086481.

Almost surely, 2^340083200 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 340083200

340083200 is an abundant number, since it is smaller than the sum of its proper divisors (507700429).

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

340083200 is an frugal number, since it uses more digits than its factorization.

340083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 340083200 is about 18441.3448533452. The cubic root of 340083200 is about 698.0101311327.

The spelling of 340083200 in words is "three hundred forty million, eighty-three thousand, two hundred".