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31144064 = 27734759
BaseRepresentation
bin111011011001…
…1100010000000
32011121021121212
41312303202000
530433102224
63031305252
7525502010
oct166634200
964537555
1031144064
1116641aa6
12a51b228
1365b5953
1441c9c40
152b02d0e
hex1db3880

31144064 has 32 divisors (see below), whose sum is σ = 70910400. Its totient is φ = 13347072.

The previous prime is 31144049. The next prime is 31144103. The reversal of 31144064 is 46044113.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16484 + ... + 18275.

It is an arithmetic number, because the mean of its divisors is an integer number (2215950).

Almost surely, 231144064 is an apocalyptic number.

It is an amenable number.

31144064 is an abundant number, since it is smaller than the sum of its proper divisors (39766336).

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

31144064 is an equidigital number, since it uses as much as digits as its factorization.

31144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34780 (or 34768 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 31144064 is about 5580.6866960975. The cubic root of 31144064 is about 314.6239368707.

Adding to 31144064 its reverse (46044113), we get a palindrome (77188177).

The spelling of 31144064 in words is "thirty-one million, one hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 34759 69518 139036 243313 278072 486626 556144 973252 1112288 1946504 2224576 3893008 4449152 7786016 15572032 31144064