340302240 has 216 divisors, whose sum is σ = 1206986508. Its totient is φ = 87306240.

The previous prime is 340302233. The next prime is 340302247. The reversal of 340302240 is 42203043.

340302240 is a `hidden beast` number, since 340 + 302 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (340302233) and next prime (340302247).

It can be written as a sum of positive squares in 6 ways, for example, as 184851216 + 155451024 = 13596^2 + 12468^2 .

It is a super-2 number, since 2×340302240² = 231611229098035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340302247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1210900 + ... + 1211180.

Almost surely, 2^340302240 is an apocalyptic number.

340302240 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 340302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603493254).

340302240 is an abundant number, since it is smaller than the sum of its proper divisors (866684268).

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

340302240 is a wasteful number, since it uses less digits than its factorization.

340302240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 340302240 is about 18447.2827267324. The cubic root of 340302240 is about 698.1599565539.

Adding to 340302240 its reverse (42203043), we get a palindrome (382505283).

The spelling of 340302240 in words is "three hundred forty million, three hundred two thousand, two hundred forty".