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328031107600 = 24527240912
BaseRepresentation
bin1001100011000000010…
…11010111101000010000
31011100201001101211111111
410301200023113220100
520333301430420400
6410410113023104
732461626260200
oct4614013275020
91140631354444
10328031107600
11117132010329
12536a8b54a94
1324c1931b801
1411c3bcac400
1587ed51c3ba
hex4c602d7a10

328031107600 has 135 divisors (see below), whose sum is σ = 916987411821. Its totient is φ = 112440316800.

The previous prime is 328031107597. The next prime is 328031107631. The reversal of 328031107600 is 6701130823.

The square root of 328031107600 is 572740.

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

It can be written as a sum of positive squares in only one way, i.e., 118091198736 + 209939908864 = 343644^2 + 458192^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80181555 + ... + 80185645.

Almost surely, 2328031107600 is an apocalyptic number.

328031107600 is the 572740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328031107600

328031107600 is an abundant number, since it is smaller than the sum of its proper divisors (588956304221).

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

328031107600 is an frugal number, since it uses more digits than its factorization.

328031107600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8214 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 328031107600 in words is "three hundred twenty-eight billion, thirty-one million, one hundred seven thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 980 1225 1400 1960 2450 2800 3920 4091 4900 8182 9800 16364 19600 20455 28637 32728 40910 57274 65456 81820 102275 114548 143185 163640 200459 204550 229096 286370 327280 400918 409100 458192 572740 715925 801836 818200 1002295 1145480 1431850 1603672 1636400 2004590 2290960 2863700 3207344 4009180 5011475 5727400 8018360 10022950 11454800 16036720 16736281 20045900 33472562 40091800 66945124 80183600 83681405 117153967 133890248 167362810 234307934 267780496 334725620 418407025 468615868 585769835 669451240 820077769 836814050 937231736 1171539670 1338902480 1640155538 1673628100 1874463472 2343079340 2928849175 3280311076 3347256200 4100388845 4686158680 5857698350 6560622152 6694512400 8200777690 9372317360 11715396700 13121244304 16401555380 20501944225 23430793400 32803110760 41003888450 46861586800 65606221520 82007776900 164015553800 328031107600