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342731168 = 2513899257
BaseRepresentation
bin10100011011011…
…010100110100000
3212212220112202222
4110123122212200
51200214344133
654001530212
711331111143
oct2433324640
9785815688
10342731168
1116650aaaa
1296943968
135600c810
143373805a
152014ee98
hex146da9a0

342731168 has 48 divisors (see below), whose sum is σ = 734900040. Its totient is φ = 156389376.

The previous prime is 342731159. The next prime is 342731189. The reversal of 342731168 is 861137243.

It is a Cunningham number, because it is equal to 185132-1.

It can be written as a sum of positive squares in 4 ways, for example, as 93470224 + 249260944 = 9668^2 + 15788^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 32396 + ... + 41652.

Almost surely, 2342731168 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 342731168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367450020).

342731168 is an abundant number, since it is smaller than the sum of its proper divisors (392168872).

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

342731168 is a wasteful number, since it uses less digits than its factorization.

342731168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9369 (or 9361 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 342731168 is about 18512.9999729920. Note that the first 4 decimals coincide. The cubic root of 342731168 is about 699.8170732895.

The spelling of 342731168 in words is "three hundred forty-two million, seven hundred thirty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 89 104 178 208 356 416 712 1157 1424 2314 2848 4628 9256 9257 18512 18514 37024 37028 74056 120341 148112 240682 296224 481364 823873 962728 1647746 1925456 3295492 3850912 6590984 10710349 13181968 21420698 26363936 42841396 85682792 171365584 342731168