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28341300 = 2235213343
BaseRepresentation
bin110110000011…
…1010000110100
31222022212221210
41230013100310
524223410200
62451241420
7462616461
oct154072064
958285853
1028341300
1114aa8269
1295a9270
135b44000
143a9a668
15274c650
hex1b07434

28341300 has 144 divisors (see below), whose sum is σ = 90896960. Its totient is φ = 6814080.

The previous prime is 28341281. The next prime is 28341317. The reversal of 28341300 is 314382.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 659079 + ... + 659121.

Almost surely, 228341300 is an apocalyptic number.

28341300 is a gapful number since it is divisible by the number (20) 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 28341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45448480).

28341300 is an abundant number, since it is smaller than the sum of its proper divisors (62555660).

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

28341300 is a wasteful number, since it uses less digits than its factorization.

28341300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 28341300 is about 5323.6547596553. The cubic root of 28341300 is about 304.8877128540.

Adding to 28341300 its reverse (314382), we get a palindrome (28655682).

The spelling of 28341300 in words is "twenty-eight million, three hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 43 50 52 60 65 75 78 86 100 129 130 150 156 169 172 195 215 258 260 300 325 338 390 430 507 516 559 645 650 676 780 845 860 975 1014 1075 1118 1290 1300 1677 1690 1950 2028 2150 2197 2236 2535 2580 2795 3225 3354 3380 3900 4225 4300 4394 5070 5590 6450 6591 6708 7267 8385 8450 8788 10140 10985 11180 12675 12900 13182 13975 14534 16770 16900 21801 21970 25350 26364 27950 29068 32955 33540 36335 41925 43602 43940 50700 54925 55900 65910 72670 83850 87204 94471 109005 109850 131820 145340 164775 167700 181675 188942 218010 219700 283413 329550 363350 377884 436020 472355 545025 566826 659100 726700 944710 1090050 1133652 1417065 1889420 2180100 2361775 2834130 4723550 5668260 7085325 9447100 14170650 28341300