340006128 has 120 divisors (see below), whose sum is σ = 1103512704. Its totient is φ = 88302720.

The previous prime is 340006127. The next prime is 340006133. The reversal of 340006128 is 821600043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 340006098 and 340006107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340006127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36475 + ... + 44837.

Almost surely, 2^340006128 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 340006128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551756352).

340006128 is an abundant number, since it is smaller than the sum of its proper divisors (763506576).

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

340006128 is a wasteful number, since it uses less digits than its factorization.

340006128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8403 (or 8386 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 340006128 is about 18439.2550825677. The cubic root of 340006128 is about 697.9573978591.

The spelling of 340006128 in words is "three hundred forty million, six thousand, one hundred twenty-eight".