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31144144 = 242967121
BaseRepresentation
bin111011011001…
…1100011010000
32011121021201211
41312303203100
530433103034
63031305504
7525502153
oct166634320
964537654
1031144144
1116642069
12a51b294
1365b59b5
1441c9c9a
152b02d64
hex1db38d0

31144144 has 20 divisors (see below), whose sum is σ = 62423460. Its totient is φ = 15034880.

The previous prime is 31144111. The next prime is 31144147. The reversal of 31144144 is 44144113.

It can be written as a sum of positive squares in 2 ways, for example, as 15840400 + 15303744 = 3980^2 + 3912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31144147) 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 3 ways as a sum of consecutive naturals, for example, 33097 + ... + 34024.

It is an arithmetic number, because the mean of its divisors is an integer number (3121173).

Almost surely, 231144144 is an apocalyptic number.

It is an amenable number.

31144144 is an abundant number, since it is smaller than the sum of its proper divisors (31279316).

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

31144144 is a wasteful number, since it uses less digits than its factorization.

31144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67158 (or 67152 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 31144144 is about 5580.6938636696. The cubic root of 31144144 is about 314.6242062628.

Adding to 31144144 its reverse (44144113), we get a palindrome (75288257).

The spelling of 31144144 in words is "thirty-one million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 67121 134242 268484 536968 1073936 1946509 3893018 7786036 15572072 31144144