Search a number
-
+
84034531 = 7109241457
BaseRepresentation
bin1010000001001…
…00001111100011
312212010101201001
411000210033203
5133003101111
612201052431
72040165430
oct500441743
9185111631
1084034531
1143487429
1224187117
1314543899
14b236b87
15759e1c1
hex50243e3

84034531 has 16 divisors (see below), whose sum is σ = 97535680. Its totient is φ = 70917120.

The previous prime is 84034523. The next prime is 84034537. The reversal of 84034531 is 13543048.

It is a 10-Lehmer number, since φ(84034531) divides (84034531-1)10.

It is a cyclic number.

It is not a de Polignac number, because 84034531 - 23 = 84034523 is a prime.

It is a super-3 number, since 3×840345313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 84034531.

It is not an unprimeable number, because it can be changed into a prime (84034537) 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 15 ways as a sum of consecutive naturals, for example, 183655 + ... + 184111.

It is an arithmetic number, because the mean of its divisors is an integer number (6095980).

Almost surely, 284034531 is an apocalyptic number.

84034531 is a deficient number, since it is larger than the sum of its proper divisors (13501149).

84034531 is a wasteful number, since it uses less digits than its factorization.

84034531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814.

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 84034531 is about 9167.0350168416. The cubic root of 84034531 is about 438.0119173450.

Adding to 84034531 its reverse (13543048), we get a palindrome (97577579).

The spelling of 84034531 in words is "eighty-four million, thirty-four thousand, five hundred thirty-one".

Divisors: 1 7 109 241 457 763 1687 3199 26269 49813 110137 183883 348691 770959 12004933 84034531