Search a number
-
+
84240268 = 22731374361
BaseRepresentation
bin1010000010101…
…10011110001100
312212111211220221
411001112132030
5133031142033
612205321124
72042013310
oct501263614
9185454827
1084240268
1143607a62
12242661a4
13145b6418
14b28bb40
1575e012d
hex505678c

84240268 has 96 divisors (see below), whose sum is σ = 185765888. Its totient is φ = 32659200.

The previous prime is 84240263. The next prime is 84240271. The reversal of 84240268 is 86204248.

It is not an unprimeable number, because it can be changed into a prime (84240263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1380958 + ... + 1381018.

Almost surely, 284240268 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 84240268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92882944).

84240268 is an abundant number, since it is smaller than the sum of its proper divisors (101525620).

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

84240268 is a wasteful number, since it uses less digits than its factorization.

84240268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 84240268 is about 9178.2497242121. The cubic root of 84240268 is about 438.3690793166.

The spelling of 84240268 in words is "eighty-four million, two hundred forty thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 31 37 43 61 62 74 86 122 124 148 172 217 244 259 301 427 434 518 602 854 868 1036 1147 1204 1333 1591 1708 1891 2257 2294 2623 2666 3182 3782 4514 4588 5246 5332 6364 7564 8029 9028 9331 10492 11137 13237 15799 16058 18361 18662 22274 26474 31598 32116 36722 37324 44548 49321 52948 63196 69967 73444 81313 97051 98642 139934 162626 194102 197284 279868 325252 345247 388204 489769 569191 679357 690494 979538 1138382 1358714 1380988 1959076 2276764 2717428 3008581 6017162 12034324 21060067 42120134 84240268