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285234000 = 24353137347
BaseRepresentation
bin10001000000000…
…101001101010000
3201212201101111020
4101000011031100
51041004442000
644145315440
710032310002
oct2100051520
9655641436
10285234000
11137009587
127b635b80
134712ab1c
1429c4c372
151a093ba0
hex11005350

285234000 has 160 divisors (see below), whose sum is σ = 928976256. Its totient is φ = 75289600.

The previous prime is 285233983. The next prime is 285234031. The reversal of 285234000 is 432582.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 821827 + ... + 822173.

Almost surely, 2285234000 is an apocalyptic number.

285234000 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 285234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464488128).

285234000 is an abundant number, since it is smaller than the sum of its proper divisors (643742256).

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

285234000 is a wasteful number, since it uses less digits than its factorization.

285234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 285234000 is about 16888.8720760150. The cubic root of 285234000 is about 658.2644945736.

Adding to 285234000 its reverse (432582), we get a palindrome (285666582).

It can be divided in two parts, 28523 and 4000, that added together give a palindrome (32523).

The spelling of 285234000 in words is "two hundred eighty-five million, two hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 137 150 200 240 250 274 300 347 375 400 411 500 548 600 685 694 750 822 1000 1041 1096 1200 1370 1388 1500 1644 1735 2000 2055 2082 2192 2740 2776 3000 3288 3425 3470 4110 4164 5205 5480 5552 6000 6576 6850 6940 8220 8328 8675 10275 10410 10960 13700 13880 16440 16656 17125 17350 20550 20820 26025 27400 27760 32880 34250 34700 41100 41640 43375 47539 51375 52050 54800 68500 69400 82200 83280 86750 95078 102750 104100 130125 137000 138800 142617 164400 173500 190156 205500 208200 237695 260250 274000 285234 347000 380312 411000 416400 475390 520500 570468 694000 713085 760624 822000 950780 1041000 1140936 1188475 1426170 1901560 2082000 2281872 2376950 2852340 3565425 3803120 4753900 5704680 5942375 7130850 9507800 11409360 11884750 14261700 17827125 19015600 23769500 28523400 35654250 47539000 57046800 71308500 95078000 142617000 285234000