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86344401 = 31113414909
BaseRepresentation
bin1010010010110…
…00001011010001
320000110202020210
411021120023101
5134101010101
612322354333
72065625643
oct511301321
9200422223
1086344401
1144814910
1224abb9a9
1314b72080
14b678893
1578a87d6
hex52582d1

86344401 has 32 divisors (see below), whose sum is σ = 138579840. Its totient is φ = 47116800.

The previous prime is 86344381. The next prime is 86344403. The reversal of 86344401 is 10444368.

It is not a de Polignac number, because 86344401 - 26 = 86344337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86344403) 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 31 ways as a sum of consecutive naturals, for example, 15135 + ... + 20043.

It is an arithmetic number, because the mean of its divisors is an integer number (4330620).

Almost surely, 286344401 is an apocalyptic number.

It is an amenable number.

86344401 is a deficient number, since it is larger than the sum of its proper divisors (52235439).

86344401 is a wasteful number, since it uses less digits than its factorization.

86344401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977.

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 86344401 is about 9292.1687995860. The cubic root of 86344401 is about 441.9889314946.

Adding to 86344401 its reverse (10444368), we get a palindrome (96788769).

The spelling of 86344401 in words is "eighty-six million, three hundred forty-four thousand, four hundred one".

Divisors: 1 3 11 13 33 39 41 123 143 429 451 533 1353 1599 4909 5863 14727 17589 53999 63817 161997 191451 201269 603807 701987 2105961 2213959 2616497 6641877 7849491 28781467 86344401