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31804080 = 24357111721
BaseRepresentation
bin111100101010…
…0101010110000
32012211210222220
41321110222300
531120212310
63053401040
7534221160
oct171245260
965753886
1031804080
1116a52970
12a799180
1367871a9
14431c5a0
152bd3670
hex1e54ab0

31804080 has 160 divisors (see below), whose sum is σ = 122992128. Its totient is φ = 6604800.

The previous prime is 31804063. The next prime is 31804103. The reversal of 31804080 is 8040813.

It is a super-2 number, since 2×318040802 = 2022999009292800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31804080.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17620 + ... + 19340.

Almost surely, 231804080 is an apocalyptic number.

31804080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31804080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61496064).

31804080 is an abundant number, since it is smaller than the sum of its proper divisors (91188048).

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

31804080 is a wasteful number, since it uses less digits than its factorization.

31804080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 31804080 is about 5639.5106170660. The cubic root of 31804080 is about 316.8309593762.

Adding to 31804080 its reverse (8040813), we get a palindrome (39844893).

It can be divided in two parts, 3180 and 4080, that added together give a triangular number (7260 = T120).

The spelling of 31804080 in words is "thirty-one million, eight hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1721 1848 2310 2640 3080 3442 3696 4620 5163 6160 6884 8605 9240 10326 12047 13768 17210 18480 18931 20652 24094 25815 27536 34420 36141 37862 41304 48188 51630 56793 60235 68840 72282 75724 82608 94655 96376 103260 113586 120470 132517 137680 144564 151448 180705 189310 192752 206520 227172 240940 265034 283965 289128 302896 361410 378620 397551 413040 454344 481880 530068 567930 578256 662585 722820 757240 795102 908688 963760 1060136 1135860 1325170 1445640 1514480 1590204 1987755 2120272 2271720 2650340 2891280 3180408 3975510 4543440 5300680 6360816 7951020 10601360 15902040 31804080