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284421834 = 23367127619
BaseRepresentation
bin10000111100111…
…110111011001010
3201211012010102000
4100330332323022
51040302444314
644120051430
710022355114
oct2074767312
9654163360
10284421834
11136604374
127b303b76
1346c05258
1429aba3b4
1519e83209
hex10f3eeca

284421834 has 64 divisors (see below), whose sum is σ = 647577600. Its totient is φ = 92507184.

The previous prime is 284421803. The next prime is 284421857. The reversal of 284421834 is 438124482.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459177 + ... + 459795.

It is an arithmetic number, because the mean of its divisors is an integer number (10118400).

Almost surely, 2284421834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284421834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323788800).

284421834 is an abundant number, since it is smaller than the sum of its proper divisors (363155766).

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

284421834 is a wasteful number, since it uses less digits than its factorization.

284421834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 818 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 284421834 is about 16864.8105236910. The cubic root of 284421834 is about 657.6391270208.

It can be divided in two parts, 28442 and 1834, that added together give a square (30276 = 1742).

The spelling of 284421834 in words is "two hundred eighty-four million, four hundred twenty-one thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 67 127 134 201 254 381 402 603 619 762 1143 1206 1238 1809 1857 2286 3429 3618 3714 5571 6858 8509 11142 16713 17018 25527 33426 41473 51054 76581 78613 82946 124419 153162 157226 229743 235839 248838 373257 459486 471678 707517 746514 1119771 1415034 2122551 2239542 4245102 5267071 10534142 15801213 31602426 47403639 94807278 142210917 284421834