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84337484 = 2271133173
BaseRepresentation
bin1010000011011…
…10001101001100
312212200210021112
411001232031030
5133042244414
612211351152
72042566610
oct501561514
9185623245
1084337484
1143674000
12242b24b8
131461b74a
14b2b5340
15760dd3e
hex506e34c

84337484 has 96 divisors (see below), whose sum is σ = 194138112. Its totient is φ = 31363200.

The previous prime is 84337483. The next prime is 84337501. The reversal of 84337484 is 48473348.

It is a super-2 number, since 2×843374842 = 14225622414900512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84337483) 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, 1155272 + ... + 1155344.

It is an arithmetic number, because the mean of its divisors is an integer number (2022272).

Almost surely, 284337484 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 84337484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97069056).

84337484 is an abundant number, since it is smaller than the sum of its proper divisors (109800628).

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

84337484 is a wasteful number, since it uses less digits than its factorization.

84337484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its digits is 258048, while the sum is 41.

The square root of 84337484 is about 9183.5441960062. The cubic root of 84337484 is about 438.5376451990.

The spelling of 84337484 in words is "eighty-four million, three hundred thirty-seven thousand, four hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 73 77 121 124 146 154 217 242 292 308 341 434 484 511 682 803 847 868 1022 1331 1364 1606 1694 2044 2263 2387 2662 3212 3388 3751 4526 4774 5324 5621 7502 8833 9052 9317 9548 11242 15004 15841 17666 18634 22484 24893 26257 31682 35332 37268 41261 49786 52514 61831 63364 82522 97163 99572 105028 123662 165044 174251 194326 247324 273823 288827 348502 388652 547646 577654 680141 697004 1095292 1155308 1360282 1916761 2720564 3012053 3833522 6024106 7667044 12048212 21084371 42168742 84337484