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284371668 = 22337376153
BaseRepresentation
bin10000111100110…
…010101011010100
3201211002120121000
4100330302223110
51040244343133
644115023300
710022055630
oct2074625324
9654076530
10284371668
1113657a709
127b29ab30
1346bb8479
1429aa5dc0
1519e73413
hex10f32ad4

284371668 has 48 divisors (see below), whose sum is σ = 842584960. Its totient is φ = 81248832.

The previous prime is 284371657. The next prime is 284371673. The reversal of 284371668 is 866173482.

It is a super-2 number, since 2×2843716682 = 161734491122204448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 187321 + ... + 188832.

Almost surely, 2284371668 is an apocalyptic number.

284371668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

284371668 is an abundant number, since it is smaller than the sum of its proper divisors (558213292).

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

284371668 is a wasteful number, since it uses less digits than its factorization.

284371668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376173 (or 376165 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 284371668 is about 16863.3231600417. The cubic root of 284371668 is about 657.6004602000.

The spelling of 284371668 in words is "two hundred eighty-four million, three hundred seventy-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 376153 752306 1128459 1504612 2256918 2633071 3385377 4513836 5266142 6770754 7899213 10156131 10532284 13541508 15798426 20312262 23697639 31596852 40624524 47395278 71092917 94790556 142185834 284371668