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3268980570 = 2352319724049
BaseRepresentation
bin1100001011011000…
…1010111101011010
322102211011102022110
43002312022331122
523143324334240
61300213333150
7144002606412
oct30266127532
98384142273
103268980570
111428288539
127729371b6
1340134133b
14230223642
15141ec6c80
hexc2d8af5a

3268980570 has 64 divisors (see below), whose sum is σ = 8228563200. Its totient is φ = 829559808.

The previous prime is 3268980569. The next prime is 3268980629. The reversal of 3268980570 is 750898623.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 123906 + ... + 147954.

It is an arithmetic number, because the mean of its divisors is an integer number (128571300).

Almost surely, 23268980570 is an apocalyptic number.

3268980570 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3268980570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114281600).

3268980570 is an abundant number, since it is smaller than the sum of its proper divisors (4959582630).

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

3268980570 is a wasteful number, since it uses less digits than its factorization.

3268980570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24279.

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 3268980570 is about 57174.9995190205. Note that the first 3 decimals coincide. The cubic root of 3268980570 is about 1484.1260215727.

The spelling of 3268980570 in words is "three billion, two hundred sixty-eight million, nine hundred eighty thousand, five hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 197 230 345 394 591 690 985 1182 1970 2955 4531 5910 9062 13593 22655 24049 27186 45310 48098 67965 72147 120245 135930 144294 240490 360735 553127 721470 1106254 1659381 2765635 3318762 4737653 5531270 8296905 9475306 14212959 16593810 23688265 28425918 47376530 71064795 108966019 142129590 217932038 326898057 544830095 653796114 1089660190 1634490285 3268980570