Search a number
-
+
84234024 = 23327971723
BaseRepresentation
bin1010000010101…
…00111100101000
312212111112100200
411001110330220
5133030442044
612205232200
72041656150
oct501247450
9185445320
1084234024
11436032a6
1224262660
13145b3624
14b289760
1575dd369
hex5054f28

84234024 has 96 divisors (see below), whose sum is σ = 263565120. Its totient is φ = 23804928.

The previous prime is 84234023. The next prime is 84234041. The reversal of 84234024 is 42043248.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (84234023) 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 23 ways as a sum of consecutive naturals, for example, 48027 + ... + 49749.

It is an arithmetic number, because the mean of its divisors is an integer number (2745470).

Almost surely, 284234024 is an apocalyptic number.

84234024 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84234024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131782560).

84234024 is an abundant number, since it is smaller than the sum of its proper divisors (179331096).

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

84234024 is a wasteful number, since it uses less digits than its factorization.

84234024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 84234024 is about 9177.9095659088. The cubic root of 84234024 is about 438.3582482172.

The spelling of 84234024 in words is "eighty-four million, two hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 97 126 168 194 252 291 388 504 582 679 776 873 1164 1358 1723 1746 2037 2328 2716 3446 3492 4074 5169 5432 6111 6892 6984 8148 10338 12061 12222 13784 15507 16296 20676 24122 24444 31014 36183 41352 48244 48888 62028 72366 96488 108549 124056 144732 167131 217098 289464 334262 434196 501393 668524 868392 1002786 1169917 1337048 1504179 2005572 2339834 3008358 3509751 4011144 4679668 6016716 7019502 9359336 10529253 12033432 14039004 21058506 28078008 42117012 84234024