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31316064 = 25313231091
BaseRepresentation
bin111011101110…
…1100001100000
32011221000120020
41313131201200
531004103224
63035113440
7530116323
oct167354140
964830506
1031316064
111674a24a
12a5a2880
136646020
1442327ba
152b38c79
hex1ddd860

31316064 has 96 divisors (see below), whose sum is σ = 92461824. Its totient is φ = 9208320.

The previous prime is 31316039. The next prime is 31316069. The reversal of 31316064 is 46061313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31316069) 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 15 ways as a sum of consecutive naturals, for example, 28159 + ... + 29249.

It is an arithmetic number, because the mean of its divisors is an integer number (963144).

Almost surely, 231316064 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 31316064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46230912).

31316064 is an abundant number, since it is smaller than the sum of its proper divisors (61145760).

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

31316064 is a wasteful number, since it uses less digits than its factorization.

31316064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 31316064 is about 5596.0757678931. The cubic root of 31316064 is about 315.2020673763.

Adding to 31316064 its reverse (46061313), we get a palindrome (77377377).

The spelling of 31316064 in words is "thirty-one million, three hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 552 598 624 736 897 1091 1104 1196 1248 1794 2182 2208 2392 3273 3588 4364 4784 6546 7176 8728 9568 13092 14183 14352 17456 25093 26184 28366 28704 34912 42549 50186 52368 56732 75279 85098 100372 104736 113464 150558 170196 200744 226928 301116 326209 340392 401488 453856 602232 652418 680784 802976 978627 1204464 1304836 1361568 1957254 2408928 2609672 3914508 5219344 7829016 10438688 15658032 31316064