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31340112 = 24317193199
BaseRepresentation
bin111011110001…
…1011001010000
32011222020112220
41313203121100
531010340422
63035421040
7530246406
oct167433120
964866486
1031340112
1116766321
12a5b4780
136653c5b
14423b476
152b40e5c
hex1de3650

31340112 has 80 divisors (see below), whose sum is σ = 86601600. Its totient is φ = 9732096.

The previous prime is 31340093. The next prime is 31340143. The reversal of 31340112 is 21104313.

It is a junction number, because it is equal to n+sod(n) for n = 31340091 and 31340100.

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 15 ways as a sum of consecutive naturals, for example, 157389 + ... + 157587.

It is an arithmetic number, because the mean of its divisors is an integer number (1082520).

Almost surely, 231340112 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 31340112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43300800).

31340112 is an abundant number, since it is smaller than the sum of its proper divisors (55261488).

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

31340112 is a wasteful number, since it uses less digits than its factorization.

31340112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 31340112 is about 5598.2240040927. The cubic root of 31340112 is about 315.2827292787.

Adding to 31340112 its reverse (21104313), we get a palindrome (52444425).

The spelling of 31340112 in words is "thirty-one million, three hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 193 199 204 272 386 398 408 579 597 772 796 816 1158 1194 1544 1592 2316 2388 3088 3184 3281 3383 4632 4776 6562 6766 9264 9552 9843 10149 13124 13532 19686 20298 26248 27064 38407 39372 40596 52496 54128 76814 78744 81192 115221 153628 157488 162384 230442 307256 460884 614512 652919 921768 1305838 1843536 1958757 2611676 3917514 5223352 7835028 10446704 15670056 31340112