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3083964 = 2231353373
BaseRepresentation
bin1011110000111010111100
312210200101220
423300322330
51242141324
6150033340
735133102
oct13607274
95720356
103083964
111817034
121048850
1383c940
145a3c72
1540db79
hex2f0ebc

3083964 has 48 divisors (see below), whose sum is σ = 7916832. Its totient is φ = 928512.

The previous prime is 3083963. The next prime is 3083981. The reversal of 3083964 is 4693803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3083963) 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 15 ways as a sum of consecutive naturals, for example, 8082 + ... + 8454.

It is an arithmetic number, because the mean of its divisors is an integer number (164934).

Almost surely, 23083964 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 3083964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958416).

3083964 is an abundant number, since it is smaller than the sum of its proper divisors (4832868).

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

3083964 is a wasteful number, since it uses less digits than its factorization.

3083964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3083964 is about 1756.1218636530. The cubic root of 3083964 is about 145.5581185140.

It can be divided in two parts, 30839 and 64, that added together give a palindrome (30903).

The spelling of 3083964 in words is "three million, eighty-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 373 636 689 746 1119 1378 1492 2067 2238 2756 4134 4476 4849 8268 9698 14547 19396 19769 29094 39538 58188 59307 79076 118614 237228 256997 513994 770991 1027988 1541982 3083964