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331636112 = 24292692657
BaseRepresentation
bin10011110001000…
…101110110010000
3212010000212012222
4103301011312100
51134344323422
652524040212
711134601063
oct2361056620
9763025188
10331636112
11160222135
1293093068
13539266b2
143208a8da
151e1ac842
hex13c45d90

331636112 has 40 divisors (see below), whose sum is σ = 667423800. Its totient is φ = 159444992.

The previous prime is 331636111. The next prime is 331636117. The reversal of 331636112 is 211636133.

It can be written as a sum of positive squares in 4 ways, for example, as 15649936 + 315986176 = 3956^2 + 17776^2 .

It is not an unprimeable number, because it can be changed into a prime (331636111) 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 7 ways as a sum of consecutive naturals, for example, 123488 + ... + 126144.

It is an arithmetic number, because the mean of its divisors is an integer number (16685595).

Almost surely, 2331636112 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 331636112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333711900).

331636112 is an abundant number, since it is smaller than the sum of its proper divisors (335787688).

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

331636112 is a wasteful number, since it uses less digits than its factorization.

331636112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963 (or 2957 counting only the distinct ones).

The product of its digits is 1944, while the sum is 26.

The square root of 331636112 is about 18210.8789463881. The cubic root of 331636112 is about 692.1824838662.

The spelling of 331636112 in words is "three hundred thirty-one million, six hundred thirty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 269 464 538 1076 2152 2657 4304 5314 7801 10628 15602 21256 31204 42512 62408 77053 124816 154106 308212 616424 714733 1232848 1429466 2858932 5717864 11435728 20727257 41454514 82909028 165818056 331636112