343122048 has 128 divisors (see below), whose sum is σ = 1023753600. Its totient is φ = 113126400.

The previous prime is 343122047. The next prime is 343122061. The reversal of 343122048 is 840221343.

343122048 is a `hidden beast` number, since 3 + 431 + 220 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is not an unprimeable number, because it can be changed into a prime (343122047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348565 + ... + 349547.

It is an arithmetic number, because the mean of its divisors is an integer number (7998075).

Almost surely, 2^343122048 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 343122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511876800).

343122048 is an abundant number, since it is smaller than the sum of its proper divisors (680631552).

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

343122048 is a wasteful number, since it uses less digits than its factorization.

343122048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1089 counting only the distinct ones).

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

The square root of 343122048 is about 18523.5538706804. The cubic root of 343122048 is about 700.0830160047.

The spelling of 343122048 in words is "three hundred forty-three million, one hundred twenty-two thousand, forty-eight".