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84334104 = 23321517757
BaseRepresentation
bin1010000011011…
…01011000011000
312212200121122100
411001231120120
5133042142404
612211323400
72042554011
oct501553030
9185617570
1084334104
1143671508
12242b0560
131461a04a
14b2b4008
15760cd39
hex506d618

84334104 has 48 divisors (see below), whose sum is σ = 229947120. Its totient is φ = 27921600.

The previous prime is 84334087. The next prime is 84334139. The reversal of 84334104 is 40143348.

It is a super-2 number, since 2×843341042 = 14224482194965632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6994 + ... + 14750.

It is an arithmetic number, because the mean of its divisors is an integer number (4790565).

Almost surely, 284334104 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 84334104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114973560).

84334104 is an abundant number, since it is smaller than the sum of its proper divisors (145613016).

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

84334104 is a wasteful number, since it uses less digits than its factorization.

84334104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7920 (or 7913 counting only the distinct ones).

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

The square root of 84334104 is about 9183.3601693498. The cubic root of 84334104 is about 438.5317866848.

The spelling of 84334104 in words is "eighty-four million, three hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 906 1208 1359 1812 2718 3624 5436 7757 10872 15514 23271 31028 46542 62056 69813 93084 139626 186168 279252 558504 1171307 2342614 3513921 4685228 7027842 9370456 10541763 14055684 21083526 28111368 42167052 84334104