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3666405320 = 235414351991
BaseRepresentation
bin1101101010001000…
…1110011111001000
3100110111222200120122
43122202032133020
530002044432240
61403451442412
7156566634224
oct33242163710
910414880518
103666405320
111611654646
12863a56408
13465790706
1426ad17784
15166d2c4b5
hexda88e7c8

3666405320 has 64 divisors (see below), whose sum is σ = 8647309440. Its totient is φ = 1397491200.

The previous prime is 3666405313. The next prime is 3666405329. The reversal of 3666405320 is 235046663.

3666405320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3666405329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44525 + ... + 96515.

It is an arithmetic number, because the mean of its divisors is an integer number (135114210).

Almost surely, 23666405320 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 3666405320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4323654720).

3666405320 is an abundant number, since it is smaller than the sum of its proper divisors (4980904120).

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

3666405320 is a wasteful number, since it uses less digits than its factorization.

3666405320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52086 (or 52082 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

The square root of 3666405320 is about 60550.8490444189. The cubic root of 3666405320 is about 1541.9850322914.

The spelling of 3666405320 in words is "three billion, six hundred sixty-six million, four hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 43 82 86 164 172 205 215 328 344 410 430 820 860 1640 1720 1763 3526 7052 8815 14104 17630 35260 51991 70520 103982 207964 259955 415928 519910 1039820 2079640 2131631 2235613 4263262 4471226 8526524 8942452 10658155 11178065 17053048 17884904 21316310 22356130 42632620 44712260 85265240 89424520 91660133 183320266 366640532 458300665 733281064 916601330 1833202660 3666405320