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4343538816 = 2734795303
BaseRepresentation
bin1000000101110010…
…10010010010000000
3102012201010122010000
410002321102102000
532343421220231
61555001040000
7212431320321
oct40271222200
912181118100
104343538816
1119298a6001
12a12786000
13542b54a16
142d2c1c448
151a64d46e6
hex102e52480

4343538816 has 160 divisors (see below), whose sum is σ = 13092393600. Its totient is φ = 1429249536.

The previous prime is 4343538809. The next prime is 4343538827. The reversal of 4343538816 is 6188353434.

4343538816 is a `hidden beast` number, since 4 + 34 + 3 + 538 + 81 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 816421 + ... + 821723.

It is an arithmetic number, because the mean of its divisors is an integer number (81827460).

Almost surely, 24343538816 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 4343538816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6546196800).

4343538816 is an abundant number, since it is smaller than the sum of its proper divisors (8748854784).

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

4343538816 is an equidigital number, since it uses as much as digits as its factorization.

4343538816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408 (or 5387 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 4343538816 is about 65905.5294797030. The cubic root of 4343538816 is about 1631.6032772709.

The spelling of 4343538816 in words is "four billion, three hundred forty-three million, five hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 128 144 158 162 192 216 237 288 316 324 384 432 474 576 632 648 711 864 948 1152 1264 1296 1422 1728 1896 2133 2528 2592 2844 3456 3792 4266 5056 5184 5303 5688 6399 7584 8532 10112 10368 10606 11376 12798 15168 15909 17064 21212 22752 25596 30336 31818 34128 42424 45504 47727 51192 63636 68256 84848 91008 95454 102384 127272 136512 143181 169696 190908 204768 254544 273024 286362 339392 381816 409536 418937 429543 509088 572724 678784 763632 819072 837874 859086 1018176 1145448 1256811 1527264 1675748 1718172 2036352 2290896 2513622 3054528 3351496 3436344 3770433 4581792 5027244 6109056 6702992 6872688 7540866 9163584 10054488 11311299 13405984 13745376 15081732 18327168 20108976 22622598 26811968 27490752 30163464 33933897 40217952 45245196 53623936 54981504 60326928 67867794 80435904 90490392 120653856 135735588 160871808 180980784 241307712 271471176 361961568 482615424 542942352 723923136 1085884704 1447846272 2171769408 4343538816