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31734016 = 281131097
BaseRepresentation
bin111100100001…
…1100100000000
32012201020212221
41321003210000
531110442031
63052100424
7533506666
oct171034400
965636787
1031734016
1116a05266
12a764714
136761332
144300c36
152bbca11
hex1e43900

31734016 has 36 divisors (see below), whose sum is σ = 63962892. Its totient is φ = 15712256.

The previous prime is 31734013. The next prime is 31734083. The reversal of 31734016 is 61043713.

It can be written as a sum of positive squares in 2 ways, for example, as 3686400 + 28047616 = 1920^2 + 5296^2 .

It is not an unprimeable number, because it can be changed into a prime (31734011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28380 + ... + 29476.

It is an arithmetic number, because the mean of its divisors is an integer number (1776747).

Almost surely, 231734016 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 31734016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31981446).

31734016 is an abundant number, since it is smaller than the sum of its proper divisors (32228876).

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

31734016 is a wasteful number, since it uses less digits than its factorization.

31734016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 31734016 is about 5633.2953055916. The cubic root of 31734016 is about 316.5981300737.

Adding to 31734016 its reverse (61043713), we get a palindrome (92777729).

The spelling of 31734016 in words is "thirty-one million, seven hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 904 1097 1808 2194 3616 4388 7232 8776 14464 17552 28928 35104 70208 123961 140416 247922 280832 495844 991688 1983376 3966752 7933504 15867008 31734016