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284534740 = 225731531237
BaseRepresentation
bin10000111101011…
…010011111010100
3201211101212021201
4100331122133110
51040320102430
644122322244
710023335230
oct2075323724
9654355251
10284534740
11136681186
127b359384
1346c44769
1429b095c0
1519ea68ca
hex10f5a7d4

284534740 has 96 divisors (see below), whose sum is σ = 718792704. Its totient is φ = 92551680.

The previous prime is 284534717. The next prime is 284534753. The reversal of 284534740 is 47435482.

It is a self number, because there is not a number n which added to its sum of digits gives 284534740.

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, 229402 + ... + 230638.

It is an arithmetic number, because the mean of its divisors is an integer number (7487424).

Almost surely, 2284534740 is an apocalyptic number.

284534740 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 284534740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359396352).

284534740 is an abundant number, since it is smaller than the sum of its proper divisors (434257964).

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

284534740 is a wasteful number, since it uses less digits than its factorization.

284534740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The square root of 284534740 is about 16868.1575757402. The cubic root of 284534740 is about 657.7261357891.

The spelling of 284534740 in words is "two hundred eighty-four million, five hundred thirty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 53 62 70 106 124 140 155 212 217 265 310 371 434 530 620 742 868 1060 1085 1237 1484 1643 1855 2170 2474 3286 3710 4340 4948 6185 6572 7420 8215 8659 11501 12370 16430 17318 23002 24740 32860 34636 38347 43295 46004 57505 65561 76694 86590 115010 131122 153388 173180 191735 230020 262244 268429 327805 383470 458927 536858 655610 766940 917854 1073716 1311220 1342145 1835708 2032391 2294635 2684290 4064782 4589270 5368580 8129564 9178540 10161955 14226737 20323910 28453474 40647820 56906948 71133685 142267370 284534740