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818074404 = 2234722272
BaseRepresentation
bin110000110000101…
…101001100100100
32010000100111010000
4300300231030210
53133411340104
6213102101300
726162342400
oct6060551444
92100314100
10818074404
1138a866454
121a9b7a830
131006409c4
147a912100
154bc47639
hex30c2d324

818074404 has 135 divisors (see below), whose sum is σ = 2498776203. Its totient is φ = 232705872.

The previous prime is 818074399. The next prime is 818074421. The reversal of 818074404 is 404470818.

It is a happy number.

The square root of 818074404 is 28602.

It is a perfect power (a square), and thus also a powerful number.

818074404 is a `hidden beast` number, since 8 + 180 + 74 + 404 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3603739 + ... + 3603965.

Almost surely, 2818074404 is an apocalyptic number.

818074404 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

818074404 is the 28602-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818074404

818074404 is an abundant number, since it is smaller than the sum of its proper divisors (1680701799).

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

818074404 is a wasteful number, since it uses less digits than its factorization.

818074404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The cubic root of 818074404 is about 935.2569299728.

Multiplying 818074404 by its sum of digits (36), we get a square (29450678544 = 1716122).

818074404 divided by its sum of digits (36) gives a square (22724289 = 47672).

The spelling of 818074404 in words is "eight hundred eighteen million, seventy-four thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 227 252 294 324 378 441 454 567 588 681 756 882 908 1134 1323 1362 1589 1764 2043 2268 2646 2724 3178 3969 4086 4767 5292 6129 6356 7938 8172 9534 11123 12258 14301 15876 18387 19068 22246 24516 28602 33369 36774 42903 44492 51529 57204 66738 73548 85806 100107 103058 128709 133476 154587 171612 200214 206116 257418 300321 309174 360703 400428 463761 514836 600642 618348 721406 900963 927522 1082109 1201284 1391283 1442812 1801926 1855044 2164218 2524921 2782566 3246327 3603852 4173849 4328436 5049842 5565132 6492654 7574763 8347698 9738981 10099684 12985308 15149526 16695396 19477962 22724289 29216943 30299052 38955924 45448578 58433886 68172867 90897156 116867772 136345734 204518601 272691468 409037202 818074404