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84340336 = 2431971753
BaseRepresentation
bin1010000011011…
…10111001110000
312212200221012011
411001232321300
5133042342321
612211412304
72042611123
oct501567160
9185627164
1084340336
1143676163
12242b4094
131461cb32
14b2b63ba
15760eae1
hex506ee70

84340336 has 40 divisors (see below), whose sum is σ = 170516864. Its totient is φ = 40366080.

The previous prime is 84340327. The next prime is 84340339. The reversal of 84340336 is 63304348.

It is a super-2 number, since 2×843403362 = 14226584553185792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 84340298 and 84340307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84340339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47236 + ... + 48988.

Almost surely, 284340336 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 84340336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85258432).

84340336 is an abundant number, since it is smaller than the sum of its proper divisors (86176528).

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

84340336 is a wasteful number, since it uses less digits than its factorization.

84340336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 84340336 is about 9183.6994724348. The cubic root of 84340336 is about 438.5425884152.

The spelling of 84340336 in words is "eighty-four million, three hundred forty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 31 62 97 124 194 248 388 496 776 1552 1753 3007 3506 6014 7012 12028 14024 24056 28048 48112 54343 108686 170041 217372 340082 434744 680164 869488 1360328 2720656 5271271 10542542 21085084 42170168 84340336