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3116484 = 2232783149
BaseRepresentation
bin1011111000110111000100
312212100000100
423320313010
51244211414
6150444100
735326650
oct13706704
95770010
103116484
111839508
121063630
13851697
145b1a60
15418609
hex2f8dc4

3116484 has 72 divisors (see below), whose sum is σ = 9172800. Its totient is φ = 873792.

The previous prime is 3116459. The next prime is 3116497. The reversal of 3116484 is 4846113.

3116484 is a `hidden beast` number, since 3 + 11 + 648 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20842 + ... + 20990.

It is an arithmetic number, because the mean of its divisors is an integer number (127400).

Almost surely, 23116484 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 3116484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586400).

3116484 is an abundant number, since it is smaller than the sum of its proper divisors (6056316).

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

3116484 is a wasteful number, since it uses less digits than its factorization.

3116484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 244 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 3116484 is about 1765.3566211958. The cubic root of 3116484 is about 146.0679611042.

It can be divided in two parts, 3116 and 484, that added together give a square (3600 = 602).

The spelling of 3116484 in words is "three million, one hundred sixteen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 149 166 249 252 298 332 447 498 581 596 747 894 996 1043 1162 1341 1494 1743 1788 2086 2324 2682 2988 3129 3486 4172 5229 5364 6258 6972 9387 10458 12367 12516 18774 20916 24734 37101 37548 49468 74202 86569 111303 148404 173138 222606 259707 346276 445212 519414 779121 1038828 1558242 3116484