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328243466400 = 25352178045183
BaseRepresentation
bin1001100011011001101…
…01011101000010100000
31011101020211222210000020
410301230311131002200
520334220311411100
6410443140353440
732500115300103
oct4615465350240
91141224883006
10328243466400
11117230974673
12537480a5880
1324c513121c5
1411c5c18a73a
158811eb85a0
hex4c6cd5d0a0

328243466400 has 144 divisors (see below), whose sum is σ = 1131281593344. Its totient is φ = 82382663680.

The previous prime is 328243466399. The next prime is 328243466479. The reversal of 328243466400 is 4664342823.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3981792 + ... + 4063391.

It is an arithmetic number, because the mean of its divisors is an integer number (7856122176).

Almost surely, 2328243466400 is an apocalyptic number.

328243466400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328243466400 is an abundant number, since it is smaller than the sum of its proper divisors (803038126944).

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

328243466400 is a wasteful number, since it uses less digits than its factorization.

328243466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8045223 (or 8045210 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 328243466400 in words is "three hundred twenty-eight billion, two hundred forty-three million, four hundred sixty-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 80 85 96 100 102 120 136 150 160 170 200 204 240 255 272 300 340 400 408 425 480 510 544 600 680 800 816 850 1020 1200 1275 1360 1632 1700 2040 2400 2550 2720 3400 4080 5100 6800 8160 10200 13600 20400 40800 8045183 16090366 24135549 32180732 40225915 48271098 64361464 80451830 96542196 120677745 128722928 136768111 160903660 193084392 201129575 241355490 257445856 273536222 321807320 386168784 402259150 410304333 482710980 547072444 603388725 643614640 683840555 772337568 804518300 820608666 965421960 1094144888 1206777450 1287229280 1367681110 1609036600 1641217332 1930843920 2051521665 2188289776 2413554900 2735362220 3218073200 3282434664 3419202775 3861687840 4103043330 4376579552 4827109800 5470724440 6436146400 6564869328 6838405550 8206086660 9654219600 10257608325 10941448880 13129738656 13676811100 16412173320 19308439200 20515216650 21882897760 27353622200 32824346640 41030433300 54707244400 65648693280 82060866600 109414488800 164121733200 328243466400