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84343424 = 2711371619
BaseRepresentation
bin1010000011011…
…11101010000000
312212201002102112
411001233222000
5133042442144
612211434452
72042623124
oct501575200
9185632375
1084343424
1143678510
12242b5a28
1314621369
14b2b7584
15761099e
hex506fa80

84343424 has 64 divisors (see below), whose sum is σ = 188373600. Its totient is φ = 37278720.

The previous prime is 84343423. The next prime is 84343429. The reversal of 84343424 is 42434348.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×843434242 = 14227626344087552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (84343423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51287 + ... + 52905.

Almost surely, 284343424 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 84343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94186800).

84343424 is an abundant number, since it is smaller than the sum of its proper divisors (104030176).

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

84343424 is a wasteful number, since it uses less digits than its factorization.

84343424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1669 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 84343424 is about 9183.8675948644. The cubic root of 84343424 is about 438.5479405518.

The spelling of 84343424 in words is "eighty-four million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 296 352 407 592 704 814 1184 1408 1619 1628 2368 3238 3256 4736 6476 6512 12952 13024 17809 25904 26048 35618 51808 52096 59903 71236 103616 119806 142472 207232 239612 284944 479224 569888 658933 958448 1139776 1317866 1916896 2279552 2635732 3833792 5271464 7667584 10542928 21085856 42171712 84343424