Search a number
-
+
28340424 = 23327229277
BaseRepresentation
bin110110000011…
…1000011001000
31222022211202100
41230013003020
524223343144
62451233400
7462614100
oct154070310
958284670
1028340424
1114aa7642
1295a8860
135b437a8
143a9a200
15274c269
hex1b070c8

28340424 has 144 divisors (see below), whose sum is σ = 92699100. Its totient is φ = 7789824.

The previous prime is 28340423. The next prime is 28340467. The reversal of 28340424 is 42404382.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27562500 + 777924 = 5250^2 + 882^2 .

It is not an unprimeable number, because it can be changed into a prime (28340423) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102174 + ... + 102450.

Almost surely, 228340424 is an apocalyptic number.

28340424 is a gapful number since it is divisible by the number (24) 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 28340424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46349550).

28340424 is an abundant number, since it is smaller than the sum of its proper divisors (64358676).

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

28340424 is a wasteful number, since it uses less digits than its factorization.

28340424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

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

The square root of 28340424 is about 5323.5724847136. The cubic root of 28340424 is about 304.8845715680.

The spelling of 28340424 in words is "twenty-eight million, three hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 49 56 58 63 72 84 87 98 116 126 147 168 174 196 203 232 252 261 277 294 348 392 406 441 504 522 554 588 609 696 812 831 882 1044 1108 1176 1218 1421 1624 1662 1764 1827 1939 2088 2216 2436 2493 2842 3324 3528 3654 3878 4263 4872 4986 5684 5817 6648 7308 7756 8033 8526 9972 11368 11634 12789 13573 14616 15512 16066 17052 17451 19944 23268 24099 25578 27146 32132 34104 34902 40719 46536 48198 51156 54292 56231 64264 69804 72297 81438 96396 102312 108584 112462 122157 139608 144594 162876 168693 192792 224924 244314 289188 325752 337386 393617 449848 488628 506079 578376 674772 787234 977256 1012158 1180851 1349544 1574468 2024316 2361702 3148936 3542553 4048632 4723404 7085106 9446808 14170212 28340424