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804351420 = 2232531473067
BaseRepresentation
bin101111111100010…
…110110110111100
32002001112021201100
4233330112312330
53121403221140
6211452013100
725634605605
oct5774266674
92061467640
10804351420
11383043144
121a5461190
13ca8476b2
1478b7cdac
154a936530
hex2ff16dbc

804351420 has 144 divisors (see below), whose sum is σ = 2572996608. Its totient is φ = 203091840.

The previous prime is 804351419. The next prime is 804351461. The reversal of 804351420 is 24153408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260727 + ... + 263793.

It is an arithmetic number, because the mean of its divisors is an integer number (17868032).

Almost surely, 2804351420 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 804351420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286498304).

804351420 is an abundant number, since it is smaller than the sum of its proper divisors (1768645188).

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

804351420 is a wasteful number, since it uses less digits than its factorization.

804351420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 804351420 is about 28361.0898944311. The cubic root of 804351420 is about 929.9978494574.

The spelling of 804351420 in words is "eight hundred four million, three hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 47 60 62 90 93 94 124 141 155 180 186 188 235 279 282 310 372 423 465 470 558 564 620 705 846 930 940 1116 1395 1410 1457 1692 1860 2115 2790 2820 2914 3067 4230 4371 5580 5828 6134 7285 8460 8742 9201 12268 13113 14570 15335 17484 18402 21855 26226 27603 29140 30670 36804 43710 46005 52452 55206 61340 65565 87420 92010 95077 110412 131130 138015 144149 184020 190154 262260 276030 285231 288298 380308 432447 475385 552060 570462 576596 720745 855693 864894 950770 1140924 1297341 1426155 1441490 1711386 1729788 1901540 2162235 2594682 2852310 2882980 3422772 4278465 4324470 4468619 5189364 5704620 6486705 8556930 8648940 8937238 12973410 13405857 17113860 17874476 22343095 25946820 26811714 40217571 44686190 53623428 67029285 80435142 89372380 134058570 160870284 201087855 268117140 402175710 804351420