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2983134 = 237112587
BaseRepresentation
bin1011011000010011011110
312121120002110
423120103132
51230430014
6143534450
734233120
oct13302336
95546073
102983134
111758300
12bba426
13805a8b
14579210
153ddd59
hex2d84de

2983134 has 48 divisors (see below), whose sum is σ = 7507584. Its totient is φ = 773520.

The previous prime is 2983117. The next prime is 2983139. The reversal of 2983134 is 4313892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2983139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4789 + ... + 5375.

It is an arithmetic number, because the mean of its divisors is an integer number (156408).

22983134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2983134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753792).

2983134 is an abundant number, since it is smaller than the sum of its proper divisors (4524450).

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

2983134 is a wasteful number, since it uses less digits than its factorization.

2983134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 610 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 2983134 is about 1727.1751503539. The cubic root of 2983134 is about 143.9541713732.

The spelling of 2983134 in words is "two million, nine hundred eighty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 587 726 847 1174 1694 1761 2541 3522 4109 5082 6457 8218 12327 12914 19371 24654 38742 45199 71027 90398 135597 142054 213081 271194 426162 497189 994378 1491567 2983134