340020000 has 180 divisors, whose sum is σ = 1208917710. Its totient is φ = 90624000.

The previous prime is 340019989. The next prime is 340020013. The reversal of 340020000 is 20043.

It can be written as a sum of positive squares in 5 ways, for example, as 3370896 + 336649104 = 1836^2 + 18348^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×340020000² = 231227200800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 179056 + ... + 180944.

Almost surely, 2^340020000 is an apocalyptic number.

340020000 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 340020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604458855).

340020000 is an abundant number, since it is smaller than the sum of its proper divisors (868897710).

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

340020000 is a wasteful number, since it uses less digits than its factorization.

340020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 340020000 is about 18439.6312327552. The cubic root of 340020000 is about 697.9668897795.

Adding to 340020000 its reverse (20043), we get a palindrome (340040043).

The spelling of 340020000 in words is "three hundred forty million, twenty thousand".