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3329309295 = 3251321923041
BaseRepresentation
bin1100011001110001…
…0011101001101111
322121000200102202200
43012130103221233
523304300344140
61310210352543
7145334443044
oct30634235157
98530612680
103329309295
111459343394
1278ab8b753
134109a4b00
142382491cb
15147442030
hexc6713a6f

3329309295 has 72 divisors (see below), whose sum is σ = 6578030160. Its totient is φ = 1552711680.

The previous prime is 3329309279. The next prime is 3329309297. The reversal of 3329309295 is 5929039233.

3329309295 is a `hidden beast` number, since 3 + 329 + 30 + 9 + 295 = 666.

It is not a de Polignac number, because 3329309295 - 24 = 3329309279 is a prime.

It is a super-2 number, since 2×33293092952 = 22168600763546794050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3329309295.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3329309297) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132975 + ... + 156015.

It is an arithmetic number, because the mean of its divisors is an integer number (91361530).

Almost surely, 23329309295 is an apocalyptic number.

3329309295 is a deficient number, since it is larger than the sum of its proper divisors (3248720865).

3329309295 is a wasteful number, since it uses less digits than its factorization.

3329309295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23097 (or 23081 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The square root of 3329309295 is about 57700.1672007976. The cubic root of 3329309295 is about 1493.2002286509.

It can be divided in two parts, 332930 and 9295, that added together give a square (342225 = 5852).

The spelling of 3329309295 in words is "three billion, three hundred twenty-nine million, three hundred nine thousand, two hundred ninety-five".

Divisors: 1 3 5 9 13 15 19 39 45 57 65 95 117 169 171 195 247 285 507 585 741 845 855 1235 1521 2223 2535 3211 3705 7605 9633 11115 16055 23041 28899 48165 69123 115205 144495 207369 299533 345615 437779 898599 1036845 1313337 1497665 2188895 2695797 3893929 3940011 4492995 5691127 6566685 11681787 13478985 17073381 19469645 19700055 28455635 35045361 51220143 58408935 73984651 85366905 175226805 221953953 256100715 369923255 665861859 1109769765 3329309295