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326001080 = 235233761157
BaseRepresentation
bin10011011011100…
…110000110111000
3211201102120102002
4103123212012320
51131424013310
652203200132
711035651316
oct2333460670
9751376362
10326001080
11158023489
1291216048
1352702862
14314210b6
151d947da5
hex136e61b8

326001080 has 128 divisors (see below), whose sum is σ = 804055680. Its totient is φ = 118609920.

The previous prime is 326001047. The next prime is 326001097. The reversal of 326001080 is 80100623.

326001080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3260010802 = 212553408322332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2076362 + ... + 2076518.

It is an arithmetic number, because the mean of its divisors is an integer number (6281685).

Almost surely, 2326001080 is an apocalyptic number.

It is a pronic number, being equal to 18055×18056.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 326001080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402027840).

326001080 is an abundant number, since it is smaller than the sum of its proper divisors (478054600).

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

326001080 is a wasteful number, since it uses less digits than its factorization.

326001080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 326001080 is about 18055.4999930769. The cubic root of 326001080 is about 688.2396350653.

The spelling of 326001080 in words is "three hundred twenty-six million, one thousand, eighty".

Divisors: 1 2 4 5 8 10 20 23 37 40 46 61 74 92 115 122 148 157 184 185 230 244 296 305 314 370 460 488 610 628 740 785 851 920 1220 1256 1403 1480 1570 1702 2257 2440 2806 3140 3404 3611 4255 4514 5612 5809 6280 6808 7015 7222 8510 9028 9577 11224 11285 11618 14030 14444 17020 18055 18056 19154 22570 23236 28060 28888 29045 34040 36110 38308 45140 46472 47885 51911 56120 58090 72220 76616 90280 95770 103822 116180 133607 144440 191540 207644 220271 232360 259555 267214 354349 383080 415288 440542 519110 534428 668035 708698 881084 1038220 1068856 1101355 1336070 1417396 1762168 1771745 2076440 2202710 2672140 2834792 3543490 4405420 5344280 7086980 8150027 8810840 14173960 16300054 32600108 40750135 65200216 81500270 163000540 326001080