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31830032 = 24131371117
BaseRepresentation
bin111100101101…
…1000000010000
32012220010121002
41321123000100
531122030112
63054121132
7534356633
oct171330020
965803532
1031830032
1116a70413
12a7b01a8
136795c50
144327c1a
152bdb1c2
hex1e5b010

31830032 has 40 divisors (see below), whose sum is σ = 66959256. Its totient is φ = 14570496.

The previous prime is 31830013. The next prime is 31830037. The reversal of 31830032 is 23003813.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 31764496 = 256^2 + 5636^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31829986 and 31830013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31830037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27938 + ... + 29054.

Almost surely, 231830032 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 31830032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33479628).

31830032 is an abundant number, since it is smaller than the sum of its proper divisors (35129224).

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

31830032 is a wasteful number, since it uses less digits than its factorization.

31830032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 31830032 is about 5641.8110567441. The cubic root of 31830032 is about 316.9171135383.

Adding to 31830032 its reverse (23003813), we get a palindrome (54833845).

The spelling of 31830032 in words is "thirty-one million, eight hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 137 208 274 548 1096 1117 1781 2192 2234 3562 4468 7124 8936 14248 14521 17872 28496 29042 58084 116168 153029 232336 306058 612116 1224232 1989377 2448464 3978754 7957508 15915016 31830032