340154000 has 80 divisors (see below), whose sum is σ = 838272240. Its totient is φ = 133452800.

The previous prime is 340153991. The next prime is 340154027. The reversal of 340154000 is 451043.

It can be written as a sum of positive squares in 8 ways, for example, as 66846976 + 273307024 = 8176^2 + 16532^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 340154000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104396 + ... + 107604.

It is an arithmetic number, because the mean of its divisors is an integer number (10478403).

Almost surely, 2^340154000 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 340154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419136120).

340154000 is an abundant number, since it is smaller than the sum of its proper divisors (498118240).

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

340154000 is a wasteful number, since it uses less digits than its factorization.

340154000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 340154000 is about 18443.2643531453. The cubic root of 340154000 is about 698.0585660335.

The spelling of 340154000 in words is "three hundred forty million, one hundred fifty-four thousand".