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3284074368 = 2734893559
BaseRepresentation
bin1100001110111110…
…1111111110000000
322110212120021010000
43003233233332000
523211210334433
61301513040000
7144245112561
oct30357577600
98425507100
103284074368
111435857753
127779b6000
134044c7593
14232232168
151434a9113
hexc3beff80

3284074368 has 160 divisors (see below), whose sum is σ = 9885942000. Its totient is φ = 1082087424.

The previous prime is 3284074357. The next prime is 3284074403. The reversal of 3284074368 is 8634704823.

3284074368 is a `hidden beast` number, since 3 + 284 + 0 + 7 + 4 + 368 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 920973 + ... + 924531.

Almost surely, 23284074368 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 3284074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942971000).

3284074368 is an abundant number, since it is smaller than the sum of its proper divisors (6601867632).

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

3284074368 is an equidigital number, since it uses as much as digits as its factorization.

3284074368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3284074368 is about 57306.8439891781. The cubic root of 3284074368 is about 1486.4067233273.

The spelling of 3284074368 in words is "three billion, two hundred eighty-four million, seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 89 96 108 128 144 162 178 192 216 267 288 324 356 384 432 534 576 648 712 801 864 1068 1152 1296 1424 1602 1728 2136 2403 2592 2848 3204 3456 3559 4272 4806 5184 5696 6408 7118 7209 8544 9612 10368 10677 11392 12816 14236 14418 17088 19224 21354 25632 28472 28836 32031 34176 38448 42708 51264 56944 57672 64062 76896 85416 96093 102528 113888 115344 128124 153792 170832 192186 227776 230688 256248 288279 307584 316751 341664 384372 455552 461376 512496 576558 633502 683328 768744 922752 950253 1024992 1153116 1267004 1366656 1537488 1900506 2049984 2306232 2534008 2850759 3074976 3801012 4099968 4612464 5068016 5701518 6149952 7602024 8552277 9224928 10136032 11403036 12299904 15204048 17104554 18449856 20272064 22806072 25656831 30408096 34209108 36899712 40544128 45612144 51313662 60816192 68418216 91224288 102627324 121632384 136836432 182448576 205254648 273672864 364897152 410509296 547345728 821018592 1094691456 1642037184 3284074368