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284031840 = 25351573769
BaseRepresentation
bin10000111011011…
…111101101100000
3201210110022102210
4100323133231200
51040203004330
644103442120
710016142111
oct2073375540
9653408383
10284031840
11136368364
127b156340
1346ac98a1
1429a18208
1519e078b0
hex10edfb60

284031840 has 96 divisors (see below), whose sum is σ = 900637920. Its totient is φ = 75239424.

The previous prime is 284031833. The next prime is 284031859. The reversal of 284031840 is 48130482.

284031840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2840318402 = 161348172267571200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 284031798 and 284031807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73476 + ... + 77244.

It is an arithmetic number, because the mean of its divisors is an integer number (9381645).

Almost surely, 2284031840 is an apocalyptic number.

284031840 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 284031840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450318960).

284031840 is an abundant number, since it is smaller than the sum of its proper divisors (616606080).

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

284031840 is a wasteful number, since it uses less digits than its factorization.

284031840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 284031840 is about 16853.2441980765. The cubic root of 284031840 is about 657.3384086310.

The spelling of 284031840 in words is "two hundred eighty-four million, thirty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 157 160 240 314 471 480 628 785 942 1256 1570 1884 2355 2512 3140 3768 3769 4710 5024 6280 7536 7538 9420 11307 12560 15072 15076 18840 18845 22614 25120 30152 37680 37690 45228 56535 60304 75360 75380 90456 113070 120608 150760 180912 226140 301520 361824 452280 591733 603040 904560 1183466 1775199 1809120 2366932 2958665 3550398 4733864 5917330 7100796 8875995 9467728 11834660 14201592 17751990 18935456 23669320 28403184 35503980 47338640 56806368 71007960 94677280 142015920 284031840