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86343408 = 2434173919
BaseRepresentation
bin1010010010101…
…11111011110000
320000110200220000
411021113323300
5134100442113
612322350000
72065623024
oct511277360
9200420800
1086343408
1144814098
1224abb300
1314b71798
14b678384
1578a8373
hex5257ef0

86343408 has 100 divisors (see below), whose sum is σ = 264670560. Its totient is φ = 27081216.

The previous prime is 86343379. The next prime is 86343419. The reversal of 86343408 is 80434368.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20073 + ... + 23991.

Almost surely, 286343408 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 86343408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132335280).

86343408 is an abundant number, since it is smaller than the sum of its proper divisors (178327152).

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

86343408 is a wasteful number, since it uses less digits than its factorization.

86343408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 86343408 is about 9292.1153673424. The cubic root of 86343408 is about 441.9872371300.

The spelling of 86343408 in words is "eighty-six million, three hundred forty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3672 3919 5508 7344 7838 11016 11757 15676 22032 23514 31352 35271 47028 62704 66623 70542 94056 105813 133246 141084 188112 199869 211626 266492 282168 317439 399738 423252 532984 564336 599607 634878 799476 846504 1065968 1199214 1269756 1598952 1693008 1798821 2398428 2539512 3197904 3597642 4796856 5079024 5396463 7195284 9593712 10792926 14390568 21585852 28781136 43171704 86343408