340268040 has 224 divisors, whose sum is σ = 1312649280. Its totient is φ = 77728896.

The previous prime is 340268029. The next prime is 340268041. The reversal of 340268040 is 40862043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 340267995 and 340268013.

It is not an unprimeable number, because it can be changed into a prime (340268041) 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 55 ways as a sum of consecutive naturals, for example, 203287 + ... + 204953.

Almost surely, 2^340268040 is an apocalyptic number.

340268040 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 340268040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656324640).

340268040 is an abundant number, since it is smaller than the sum of its proper divisors (972381240).

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

340268040 is a wasteful number, since it uses less digits than its factorization.

340268040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 340268040 is about 18446.3557376518. The cubic root of 340268040 is about 698.1365676683.

The spelling of 340268040 in words is "three hundred forty million, two hundred sixty-eight thousand, forty".