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471818340 = 2232571722027
BaseRepresentation
bin11100000111110…
…110000001100100
31012212210212002100
4130013312001210
51431241141330
6114452412100
714456250450
oct3407660144
91185725070
10471818340
11222369114
12112017030
1376998966
144693b660
152b64d060
hex1c1f6064

471818340 has 144 divisors (see below), whose sum is σ = 1731929472. Its totient is φ = 101495808.

The previous prime is 471818327. The next prime is 471818351. The reversal of 471818340 is 43818174.

471818340 is a `hidden beast` number, since 471 + 8 + 183 + 4 + 0 = 666.

It is a super-2 number, since 2×4718183402 = 445225091920711200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 471818295 and 471818304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10407 + ... + 32433.

It is an arithmetic number, because the mean of its divisors is an integer number (12027288).

Almost surely, 2471818340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471818340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865964736).

471818340 is an abundant number, since it is smaller than the sum of its proper divisors (1260111132).

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

471818340 is a wasteful number, since it uses less digits than its factorization.

471818340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22066 (or 22061 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 471818340 is about 21721.3797904277. The cubic root of 471818340 is about 778.4993831074.

The spelling of 471818340 in words is "four hundred seventy-one million, eight hundred eighteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 10710 21420 22027 44054 66081 88108 110135 132162 154189 198243 220270 264324 308378 330405 374459 396486 440540 462567 616756 660810 748918 770945 792972 925134 991215 1123377 1321620 1387701 1497836 1541890 1850268 1872295 1982430 2246754 2312835 2621213 2775402 3083780 3370131 3744590 3964860 4493508 4625670 5242426 5550804 5616885 6740262 6938505 7489180 7863639 9251340 10484852 11233770 13106065 13480524 13877010 15727278 16850655 22467540 23590917 26212130 27754020 31454556 33701310 39318195 47181834 52424260 67402620 78636390 94363668 117954585 157272780 235909170 471818340