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43140384 = 2533721019
BaseRepresentation
bin1010010010010…
…0010100100000
310000011202111000
42210210110200
542020443014
64140352000
71032454500
oct244442440
9100152430
1043140384
1122396011
1212545600
138c26071
145a2da00
153bc2509
hex2924520

43140384 has 144 divisors (see below), whose sum is σ = 146512800. Its totient is φ = 12313728.

The previous prime is 43140353. The next prime is 43140389. The reversal of 43140384 is 48304134.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×431403842 = 3722185463334912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (43140389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41827 + ... + 42845.

It is an arithmetic number, because the mean of its divisors is an integer number (1017450).

Almost surely, 243140384 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 43140384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73256400).

43140384 is an abundant number, since it is smaller than the sum of its proper divisors (103372416).

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

43140384 is a wasteful number, since it uses less digits than its factorization.

43140384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 43140384 is about 6568.1339815811. The cubic root of 43140384 is about 350.7206485028.

The spelling of 43140384 in words is "forty-three million, one hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1019 1176 1323 1512 1568 1764 2016 2038 2352 2646 3024 3057 3528 4076 4704 5292 6048 6114 7056 7133 8152 9171 10584 12228 14112 14266 16304 18342 21168 21399 24456 27513 28532 32608 36684 42336 42798 48912 49931 55026 57064 64197 73368 85596 97824 99862 110052 114128 128394 146736 149793 171192 192591 199724 220104 228256 256788 293472 299586 342384 385182 399448 440208 449379 513576 599172 684768 770364 798896 880416 898758 1027152 1198344 1348137 1540728 1597792 1797516 2054304 2396688 2696274 3081456 3595032 4793376 5392548 6162912 7190064 10785096 14380128 21570192 43140384