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31696434 = 23572113
BaseRepresentation
bin111100011101…
…0011000110010
32012122100100000
41320322120302
531103241214
63051210430
7533262300
oct170723062
965570300
1031696434
111698a000
12a746a16
13674a1b3
1442d1270
152bb1809
hex1e3a632

31696434 has 144 divisors (see below), whose sum is σ = 91125216. Its totient is φ = 8232840.

The previous prime is 31696363. The next prime is 31696439. The reversal of 31696434 is 43469613.

31696434 is a `hidden beast` number, since 3 + 1 + 6 + 9 + 643 + 4 = 666.

Its product of digits (46656) is a multiple of the sum of its prime factors (64).

It is not an unprimeable number, because it can be changed into a prime (31696439) 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 71 ways as a sum of consecutive naturals, for example, 2881489 + ... + 2881499.

It is an arithmetic number, because the mean of its divisors is an integer number (632814).

Almost surely, 231696434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31696434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45562608).

31696434 is an abundant number, since it is smaller than the sum of its proper divisors (59428782).

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

31696434 is an equidigital number, since it uses as much as digits as its factorization.

31696434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 31696434 is about 5629.9586144127. The cubic root of 31696434 is about 316.4731002946.

The spelling of 31696434 in words is "thirty-one million, six hundred ninety-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 81 98 99 121 126 147 154 162 189 198 231 242 243 294 297 363 378 441 462 486 539 567 594 693 726 847 882 891 1078 1089 1134 1323 1331 1386 1617 1694 1701 1782 2079 2178 2541 2646 2662 2673 3234 3267 3402 3969 3993 4158 4851 5082 5346 5929 6237 6534 7623 7938 7986 9317 9702 9801 11858 11907 11979 12474 14553 15246 17787 18634 18711 19602 22869 23814 23958 27951 29106 29403 35574 35937 37422 43659 45738 53361 55902 58806 65219 68607 71874 83853 87318 106722 107811 130438 130977 137214 160083 167706 195657 205821 215622 251559 261954 320166 323433 391314 411642 480249 503118 586971 646866 754677 960498 1173942 1440747 1509354 1760913 2264031 2881494 3521826 4528062 5282739 10565478 15848217 31696434