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2996336 = 24731863
BaseRepresentation
bin1011011011100001110000
312122020012102
423123201300
51231340321
6144115532
734316450
oct13334160
95566172
102996336
111767212
121005ba8
1380baa5
1457dd60
153e2c0b
hex2db870

2996336 has 40 divisors (see below), whose sum is σ = 6856704. Its totient is φ = 1241280.

The previous prime is 2996333. The next prime is 2996339. The reversal of 2996336 is 6336992.

2996336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2996333) and next prime (2996339).

It is a d-powerful number, because it can be written as 219 + 9 + 96 + 66 + 39 + 313 + 67 .

It is a self number, because there is not a number n which added to its sum of digits gives 2996336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2996333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3041 + ... + 3903.

22996336 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 2996336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428352).

2996336 is an abundant number, since it is smaller than the sum of its proper divisors (3860368).

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

2996336 is a wasteful number, since it uses less digits than its factorization.

2996336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 903 counting only the distinct ones).

The product of its digits is 52488, while the sum is 38.

The square root of 2996336 is about 1730.9927787255. The cubic root of 2996336 is about 144.1662175282.

The spelling of 2996336 in words is "two million, nine hundred ninety-six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 863 868 1726 1736 3452 3472 6041 6904 12082 13808 24164 26753 48328 53506 96656 107012 187271 214024 374542 428048 749084 1498168 2996336