340788240 has 240 divisors, whose sum is σ = 1286917632. Its totient is φ = 80188416.

The previous prime is 340788229. The next prime is 340788277. The reversal of 340788240 is 42887043.

340788240 is a `hidden beast` number, since 3 + 407 + 8 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×340788240² = 232273249044595200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 340788195 and 340788204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214489 + ... + 216071.

Almost surely, 2^340788240 is an apocalyptic number.

340788240 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 340788240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643458816).

340788240 is an abundant number, since it is smaller than the sum of its proper divisors (946129392).

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

340788240 is a wasteful number, since it uses less digits than its factorization.

340788240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 340788240 is about 18460.4506987235. The cubic root of 340788240 is about 698.4921557006.

The spelling of 340788240 in words is "three hundred forty million, seven hundred eighty-eight thousand, two hundred forty".