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31434112 = 272411019
BaseRepresentation
bin111011111101…
…0010110000000
32012011000111101
41313322112000
531021342422
63041424144
7531120433
oct167722600
965130441
1031434112
111681aa06
12a63b054
136687988
14426381a
152b5dc27
hex1dfa580

31434112 has 32 divisors (see below), whose sum is σ = 62944200. Its totient is φ = 15636480.

The previous prime is 31434107. The next prime is 31434149. The reversal of 31434112 is 21143413.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 31434112.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 30339 + ... + 31357.

Almost surely, 231434112 is an apocalyptic number.

31434112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31472100).

31434112 is an abundant number, since it is smaller than the sum of its proper divisors (31510088).

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

31434112 is a wasteful number, since it uses less digits than its factorization.

31434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1262 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 31434112 is about 5606.6132379539. The cubic root of 31434112 is about 315.5976291920.

Adding to 31434112 its reverse (21143413), we get a palindrome (52577525).

It can be divided in two parts, 3143411 and 2, that added together give a palindrome (3143413).

The spelling of 31434112 in words is "thirty-one million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 241 482 964 1019 1928 2038 3856 4076 7712 8152 15424 16304 30848 32608 65216 130432 245579 491158 982316 1964632 3929264 7858528 15717056 31434112