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342748224 = 26327132503
BaseRepresentation
bin10100011011011…
…110110001000000
3212212221102011200
4110123132301000
51200220420344
654002141200
711331211650
oct2433366100
9785842150
10342748224
111665218a5
1296951800
1356017500
1433740360
1520155069
hex146dec40

342748224 has 252 divisors, whose sum is σ = 1218200256. Its totient is φ = 90215424.

The previous prime is 342748223. The next prime is 342748229. The reversal of 342748224 is 422847243.

342748224 is a `hidden beast` number, since 3 + 427 + 4 + 8 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (342748223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 681157 + ... + 681659.

It is an arithmetic number, because the mean of its divisors is an integer number (4834128).

Almost surely, 2342748224 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 342748224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609100128).

342748224 is an abundant number, since it is smaller than the sum of its proper divisors (875452032).

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

342748224 is a wasteful number, since it uses less digits than its factorization.

342748224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 528 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 342748224 is about 18513.4606165352. The cubic root of 342748224 is about 699.8286818845.

The spelling of 342748224 in words is "three hundred forty-two million, seven hundred forty-eight thousand, two hundred twenty-four".