Search a number
-
+
28344330 = 234574999
BaseRepresentation
bin110110000100…
…0000000001010
31222100001010000
41230020000022
524224004310
62451303430
7462631350
oct154100012
958301100
1028344330
1114aaa573
1295aab76
135b454c1
143a9b7d0
15274d4c0
hex1b0800a

28344330 has 80 divisors (see below), whose sum is σ = 87120000. Its totient is φ = 6477408.

The previous prime is 28344319. The next prime is 28344343. The reversal of 28344330 is 3344382.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 28344294 and 28344303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3171 + ... + 8169.

It is an arithmetic number, because the mean of its divisors is an integer number (1089000).

Almost surely, 228344330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28344330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43560000).

28344330 is an abundant number, since it is smaller than the sum of its proper divisors (58775670).

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

28344330 is a wasteful number, since it uses less digits than its factorization.

28344330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 28344330 is about 5323.9393309842. The cubic root of 28344330 is about 304.8985777620.

The spelling of 28344330 in words is "twenty-eight million, three hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 4999 5670 9998 14997 24995 29994 34993 44991 49990 69986 74985 89982 104979 134973 149970 174965 209958 224955 269946 314937 349930 404919 449910 524895 629874 674865 809838 944811 1049790 1349730 1574685 1889622 2024595 2834433 3149370 4049190 4724055 5668866 9448110 14172165 28344330