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3016377 = 3271329127
BaseRepresentation
bin1011100000011010111001
312200020200200
423200122321
51233011002
6144352413
734432050
oct13403271
95606620
103016377
111780281
121015709
13817c50
14587397
153e8b1c
hex2e06b9

3016377 has 48 divisors (see below), whose sum is σ = 5591040. Its totient is φ = 1524096.

The previous prime is 3016367. The next prime is 3016379. The reversal of 3016377 is 7736103.

3016377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3016377 - 27 = 3016249 is a prime.

It is a super-3 number, since 3×30163773 = 82333791742718323899, which contains 333 as substring. Note that it is a super-d number also for d = 2.

3016377 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3016377.

It is not an unprimeable number, because it can be changed into a prime (3016379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23688 + ... + 23814.

It is an arithmetic number, because the mean of its divisors is an integer number (116480).

Almost surely, 23016377 is an apocalyptic number.

It is an amenable number.

3016377 is a deficient number, since it is larger than the sum of its proper divisors (2574663).

3016377 is a wasteful number, since it uses less digits than its factorization.

3016377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 3016377 is about 1736.7720057624. The cubic root of 3016377 is about 144.4869222649.

The spelling of 3016377 in words is "three million, sixteen thousand, three hundred seventy-seven".

Divisors: 1 3 7 9 13 21 29 39 63 87 91 117 127 203 261 273 377 381 609 819 889 1131 1143 1651 1827 2639 2667 3393 3683 4953 7917 8001 11049 11557 14859 23751 25781 33147 34671 47879 77343 104013 143637 232029 335153 430911 1005459 3016377