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2984016 = 243783107
BaseRepresentation
bin1011011000100001010000
312121121022010
423120201100
51230442031
6143542520
734235520
oct13304120
95547263
102984016
111758a32
12bbaa40
138062b9
14579680
153de246
hex2d8850

2984016 has 80 divisors (see below), whose sum is σ = 8999424. Its totient is φ = 834432.

The previous prime is 2983987. The next prime is 2984039. The reversal of 2984016 is 6104892.

2984016 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27835 + ... + 27941.

22984016 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 2984016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712).

2984016 is an abundant number, since it is smaller than the sum of its proper divisors (6015408).

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

2984016 is a wasteful number, since it uses less digits than its factorization.

2984016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2984016 is about 1727.4304616974. The cubic root of 2984016 is about 143.9683572448.

The spelling of 2984016 in words is "two million, nine hundred eighty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 107 112 166 168 214 249 321 332 336 428 498 581 642 664 749 856 996 1162 1284 1328 1498 1712 1743 1992 2247 2324 2568 2996 3486 3984 4494 4648 5136 5992 6972 8881 8988 9296 11984 13944 17762 17976 26643 27888 35524 35952 53286 62167 71048 106572 124334 142096 186501 213144 248668 373002 426288 497336 746004 994672 1492008 2984016