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3280103680 = 2857477789
BaseRepresentation
bin1100001110000010…
…0110100100000000
322110121002112100111
43003200212210000
523204201304210
61301252001104
7144166264330
oct30340464400
98417075314
103280103680
111433595497
12776600194
13403737169
142318bb0c0
15142e7288a
hexc3826900

3280103680 has 144 divisors (see below), whose sum is σ = 9171509760. Its totient is φ = 1100537856.

The previous prime is 3280103663. The next prime is 3280103737. The reversal of 3280103680 is 863010823.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417226 + ... + 425014.

It is an arithmetic number, because the mean of its divisors is an integer number (63691040).

Almost surely, 23280103680 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 3280103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585754880).

3280103680 is an abundant number, since it is smaller than the sum of its proper divisors (5891406080).

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

3280103680 is an equidigital number, since it uses as much as digits as its factorization.

3280103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7864 (or 7850 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 3280103680 is about 57272.1894116158. The cubic root of 3280103680 is about 1485.8074232962.

The spelling of 3280103680 in words is "three billion, two hundred eighty million, one hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 64 70 80 94 112 128 140 160 188 224 235 256 280 320 329 376 448 470 560 640 658 752 896 940 1120 1280 1316 1504 1645 1792 1880 2240 2632 3008 3290 3760 4480 5264 6016 6580 7520 7789 8960 10528 12032 13160 15040 15578 21056 26320 30080 31156 38945 42112 52640 54523 60160 62312 77890 84224 105280 109046 124624 155780 210560 218092 249248 272615 311560 366083 421120 436184 498496 545230 623120 732166 872368 996992 1090460 1246240 1464332 1744736 1830415 1993984 2180920 2492480 2562581 2928664 3489472 3660830 4361840 4984960 5125162 5857328 6978944 7321660 8723680 9969920 10250324 11714656 12812905 13957888 14643320 17447360 20500648 23429312 25625810 29286640 34894720 41001296 46858624 51251620 58573280 69789440 82002592 93717248 102503240 117146560 164005184 205006480 234293120 328010368 410012960 468586240 656020736 820025920 1640051840 3280103680