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86334336 = 273411757
BaseRepresentation
bin1010010010101…
…01101110000000
320000110020110000
411021111232000
5134100144321
612322240000
72065554414
oct511255600
9200406400
1086334336
11448082a0
1224ab6000
1314b6a60a
14b674d44
1578a5826
hex5255b80

86334336 has 160 divisors (see below), whose sum is σ = 280657080. Its totient is φ = 26127360.

The previous prime is 86334331. The next prime is 86334377. The reversal of 86334336 is 63343368.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 86334336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86334331) 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 19 ways as a sum of consecutive naturals, for example, 113670 + ... + 114426.

Almost surely, 286334336 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 86334336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140328540).

86334336 is an abundant number, since it is smaller than the sum of its proper divisors (194322744).

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

86334336 is a wasteful number, since it uses less digits than its factorization.

86334336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 773 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 86334336 is about 9291.6271987204. The cubic root of 86334336 is about 441.9717568953.

The spelling of 86334336 in words is "eighty-six million, three hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 528 576 594 648 704 757 792 864 891 1056 1152 1188 1296 1408 1514 1584 1728 1782 2112 2271 2376 2592 3028 3168 3456 3564 4224 4542 4752 5184 6056 6336 6813 7128 8327 9084 9504 10368 12112 12672 13626 14256 16654 18168 19008 20439 24224 24981 27252 28512 33308 36336 38016 40878 48448 49962 54504 57024 61317 66616 72672 74943 81756 96896 99924 109008 114048 122634 133232 145344 149886 163512 199848 218016 224829 245268 266464 290688 299772 327024 399696 436032 449658 490536 532928 599544 654048 674487 799392 872064 899316 981072 1065856 1199088 1308096 1348974 1598784 1798632 1962144 2398176 2616192 2697948 3197568 3597264 3924288 4796352 5395896 7194528 7848576 9592704 10791792 14389056 21583584 28778112 43167168 86334336