340461144 has 80 divisors (see below), whose sum is σ = 963053520. Its totient is φ = 112363200.

The previous prime is 340461119. The next prime is 340461151. The reversal of 340461144 is 441164043.

340461144 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 611 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64194 + ... + 69294.

It is an arithmetic number, because the mean of its divisors is an integer number (12038169).

Almost surely, 2^340461144 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 340461144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481526760).

340461144 is an abundant number, since it is smaller than the sum of its proper divisors (622592376).

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

340461144 is a wasteful number, since it uses less digits than its factorization.

340461144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5222 (or 5209 counting only the distinct ones).

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

The square root of 340461144 is about 18451.5891998494. The cubic root of 340461144 is about 698.2686081517.

The spelling of 340461144 in words is "three hundred forty million, four hundred sixty-one thousand, one hundred forty-four".