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3083976 = 2332729211
BaseRepresentation
bin1011110000111011001000
312210200102100
423300323020
51242141401
6150033400
735133120
oct13607310
95720370
103083976
111817045
121048860
1383c94c
145a3c80
1540db86
hex2f0ec8

3083976 has 96 divisors (see below), whose sum is σ = 9921600. Its totient is φ = 846720.

The previous prime is 3083963. The next prime is 3083981. The reversal of 3083976 is 6793803.

3083976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3083976.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14511 + ... + 14721.

It is an arithmetic number, because the mean of its divisors is an integer number (103350).

Almost surely, 23083976 is an apocalyptic number.

3083976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3083976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960800).

3083976 is an abundant number, since it is smaller than the sum of its proper divisors (6837624).

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

3083976 is a wasteful number, since it uses less digits than its factorization.

3083976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3083976 is about 1756.1252802690. The cubic root of 3083976 is about 145.5583073073.

The spelling of 3083976 in words is "three million, eighty-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 211 232 252 261 348 406 422 504 522 609 633 696 812 844 1044 1218 1266 1477 1624 1688 1827 1899 2088 2436 2532 2954 3654 3798 4431 4872 5064 5908 6119 7308 7596 8862 11816 12238 13293 14616 15192 17724 18357 24476 26586 35448 36714 42833 48952 53172 55071 73428 85666 106344 110142 128499 146856 171332 220284 256998 342664 385497 440568 513996 770994 1027992 1541988 3083976