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2830984 = 2313163167
BaseRepresentation
bin1010110011001010001000
312022211101021
422303022020
51211042414
6140402224
733030412
oct12631210
95284337
102830984
111663a62
12b46374
13781750
145399b2
153adc24
hex2b3288

2830984 has 32 divisors (see below), whose sum is σ = 5785920. Its totient is φ = 1290816.

The previous prime is 2830979. The next prime is 2831011. The reversal of 2830984 is 4890382.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16869 + ... + 17035.

It is an arithmetic number, because the mean of its divisors is an integer number (180810).

22830984 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 2830984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892960).

2830984 is an abundant number, since it is smaller than the sum of its proper divisors (2954936).

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

2830984 is a wasteful number, since it uses less digits than its factorization.

2830984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 2830984 is about 1682.5528223506. The cubic root of 2830984 is about 141.4639579902.

The spelling of 2830984 in words is "two million, eight hundred thirty thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 104 163 167 326 334 652 668 1304 1336 2119 2171 4238 4342 8476 8684 16952 17368 27221 54442 108884 217768 353873 707746 1415492 2830984