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3305383627 = 713217164357
BaseRepresentation
bin1100010100000100…
…0010011011001011
322112100122212220211
43011001002123023
523232134234002
61303553501551
7144624203650
oct30501023313
98470585824
103305383627
111446891707
12782b718b7
13408a48900
14234dbbc27
151452b7dd7
hexc50426cb

3305383627 has 24 divisors (see below), whose sum is σ = 4331162016. Its totient is φ = 2461395456.

The previous prime is 3305383619. The next prime is 3305383639. The reversal of 3305383627 is 7263835033.

It is not a de Polignac number, because 3305383627 - 23 = 3305383619 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3305383627.

It is not an unprimeable number, because it can be changed into a prime (3305383607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62068 + ... + 102289.

It is an arithmetic number, because the mean of its divisors is an integer number (180465084).

Almost surely, 23305383627 is an apocalyptic number.

3305383627 is a deficient number, since it is larger than the sum of its proper divisors (1025778389).

3305383627 is a wasteful number, since it uses less digits than its factorization.

3305383627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164407 (or 164394 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 40.

The square root of 3305383627 is about 57492.4658281413. The cubic root of 3305383627 is about 1489.6147265964.

The spelling of 3305383627 in words is "three billion, three hundred five million, three hundred eighty-three thousand, six hundred twenty-seven".

Divisors: 1 7 13 17 91 119 169 221 1183 1547 2873 20111 164357 1150499 2136641 2794069 14956487 19558483 27776333 36322897 194434331 254260279 472197661 3305383627