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31399368 = 233711131307
BaseRepresentation
bin111011111000…
…1110111001000
32012002020211120
41313301313020
531014234433
63040555240
7530614230
oct167616710
965066746
1031399368
11167a68a0
12a622b20
136674c10
144254cc0
152b537b3
hex1df1dc8

31399368 has 128 divisors (see below), whose sum is σ = 105477120. Its totient is φ = 7522560.

The previous prime is 31399367. The next prime is 31399369. The reversal of 31399368 is 86399313.

It is an interprime number because it is at equal distance from previous prime (31399367) and next prime (31399369).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (31399367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23371 + ... + 24677.

It is an arithmetic number, because the mean of its divisors is an integer number (824040).

Almost surely, 231399368 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 31399368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52738560).

31399368 is an abundant number, since it is smaller than the sum of its proper divisors (74077752).

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

31399368 is a wasteful number, since it uses less digits than its factorization.

31399368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1343 counting only the distinct ones).

The product of its digits is 104976, while the sum is 42.

The square root of 31399368 is about 5603.5138975468. The cubic root of 31399368 is about 315.4813100542.

Subtracting 31399368 from its reverse (86399313), we obtain a palindrome (54999945).

It can be divided in two parts, 313 and 99368, that added together give a triangular number (99681 = T446).

The spelling of 31399368 in words is "thirty-one million, three hundred ninety-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1307 1716 1848 2002 2184 2614 3003 3432 3921 4004 5228 6006 7842 8008 9149 10456 12012 14377 15684 16991 18298 24024 27447 28754 31368 33982 36596 43131 50973 54894 57508 67964 73192 86262 100639 101946 109788 115016 118937 135928 172524 186901 201278 203892 219576 237874 301917 345048 356811 373802 402556 407784 475748 560703 603834 713622 747604 805112 951496 1121406 1207668 1308307 1427244 1495208 2242812 2415336 2616614 2854488 3924921 4485624 5233228 7849842 10466456 15699684 31399368