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28341040 = 24571317229
BaseRepresentation
bin110110000011…
…1001100110000
31222022212121011
41230013030300
524223403130
62451240304
7462615640
oct154071460
958285534
1028341040
1114aa8052
1295a9094
135b43b60
143a9a520
15274c52a
hex1b07330

28341040 has 160 divisors (see below), whose sum is σ = 86244480. Its totient is φ = 8404992.

The previous prime is 28341031. The next prime is 28341077. The reversal of 28341040 is 4014382.

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 31 ways as a sum of consecutive naturals, for example, 123646 + ... + 123874.

It is an arithmetic number, because the mean of its divisors is an integer number (539028).

Almost surely, 228341040 is an apocalyptic number.

28341040 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 28341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43122240).

28341040 is an abundant number, since it is smaller than the sum of its proper divisors (57903440).

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

28341040 is a wasteful number, since it uses less digits than its factorization.

28341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 28341040 is about 5323.6303402847. The cubic root of 28341040 is about 304.8867805156.

The spelling of 28341040 in words is "twenty-eight million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 17 20 26 28 34 35 40 52 56 65 68 70 80 85 91 104 112 119 130 136 140 170 182 208 221 229 238 260 272 280 340 364 442 455 458 476 520 560 595 680 728 884 910 916 952 1040 1105 1145 1190 1360 1456 1547 1603 1768 1820 1832 1904 2210 2290 2380 2977 3094 3206 3536 3640 3664 3893 4420 4580 4760 5954 6188 6412 7280 7735 7786 8015 8840 9160 9520 11908 12376 12824 14885 15470 15572 16030 17680 18320 19465 20839 23816 24752 25648 27251 29770 30940 31144 32060 38930 41678 47632 50609 54502 59540 61880 62288 64120 77860 83356 101218 104195 109004 119080 123760 128240 136255 155720 166712 202436 208390 218008 238160 253045 272510 311440 333424 354263 404872 416780 436016 506090 545020 708526 809744 833560 1012180 1090040 1417052 1667120 1771315 2024360 2180080 2834104 3542630 4048720 5668208 7085260 14170520 28341040