340400928 has 192 divisors, whose sum is σ = 1097349120. Its totient is φ = 90181632.

The previous prime is 340400917. The next prime is 340400933. The reversal of 340400928 is 829004043.

It is a happy number.

It is a super-2 number, since 2×340400928² = 231745583566522368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340400895 and 340400904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948013 + ... + 948371.

It is an arithmetic number, because the mean of its divisors is an integer number (5715360).

Almost surely, 2^340400928 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 340400928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548674560).

340400928 is an abundant number, since it is smaller than the sum of its proper divisors (756948192).

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

340400928 is a wasteful number, since it uses less digits than its factorization.

340400928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 340400928 is about 18449.9573983248. The cubic root of 340400928 is about 698.2274390664.

The spelling of 340400928 in words is "three hundred forty million, four hundred thousand, nine hundred twenty-eight".