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328963369840 = 2457313818681
BaseRepresentation
bin1001100100101111011…
…11101010101101110000
31011110010000121122212121
410302113233222231300
520342204110313330
6411042414404024
732524006336000
oct4622757525560
91143100548777
10328963369840
11117570278796
1253909200614
13250374cca81
1411cc9a26000
1588552bd17a
hex4c97beab70

328963369840 has 160 divisors (see below), whose sum is σ = 892690185600. Its totient is φ = 112692787200.

The previous prime is 328963369759. The next prime is 328963369873. The reversal of 328963369840 is 48963369823.

It is a happy number.

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, 37890300 + ... + 37898980.

It is an arithmetic number, because the mean of its divisors is an integer number (5579313660).

Almost surely, 2328963369840 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 328963369840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446345092800).

328963369840 is an abundant number, since it is smaller than the sum of its proper divisors (563726815760).

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

328963369840 is a wasteful number, since it uses less digits than its factorization.

328963369840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10096 (or 10076 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 61.

The spelling of 328963369840 in words is "three hundred twenty-eight billion, nine hundred sixty-three million, three hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 980 1372 1381 1715 1960 2744 2762 3430 3920 5488 5524 6860 6905 8681 9667 11048 13720 13810 17362 19334 22096 27440 27620 34724 38668 43405 48335 55240 60767 67669 69448 77336 86810 96670 110480 121534 135338 138896 154672 173620 193340 243068 270676 303835 338345 347240 386680 425369 473683 486136 541352 607670 676690 694480 773360 850738 947366 972272 1082704 1215340 1353380 1701476 1894732 2126845 2368415 2430680 2706760 2977583 3402952 3789464 4253690 4736830 4861360 5413520 5955166 6805904 7578928 8507380 9473660 11910332 11988461 14887915 17014760 18947320 23820664 23976922 29775830 34029520 37894640 47641328 47953844 59551660 59942305 83919227 95907688 119103320 119884610 167838454 191815376 238206640 239769220 335676908 419596135 479538440 587434589 671353816 839192270 959076880 1174869178 1342707632 1678384540 2349738356 2937172945 3356769080 4112042123 4699476712 5874345890 6713538160 8224084246 9398953424 11748691780 16448168492 20560210615 23497383560 32896336984 41120421230 46994767120 65792673968 82240842460 164481684920 328963369840