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2997288 = 2332719313
BaseRepresentation
bin1011011011110000101000
312122021111200
423123300220
51231403123
6144124200
734322310
oct13336050
95567450
102997288
1117679a8
121006660
1380c358
14580440
153e3143
hex2dbc28

2997288 has 96 divisors (see below), whose sum is σ = 9796800. Its totient is φ = 808704.

The previous prime is 2997283. The next prime is 2997301. The reversal of 2997288 is 8827992.

2997288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2997283) 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 23 ways as a sum of consecutive naturals, for example, 9420 + ... + 9732.

It is an arithmetic number, because the mean of its divisors is an integer number (102050).

22997288 is an apocalyptic number.

2997288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2997288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898400).

2997288 is an abundant number, since it is smaller than the sum of its proper divisors (6799512).

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

2997288 is a wasteful number, since it uses less digits than its factorization.

2997288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 344 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 2997288 is about 1731.2677435914. The cubic root of 2997288 is about 144.1814841412.

The spelling of 2997288 in words is "two million, nine hundred ninety-seven thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 313 342 399 456 504 532 626 684 798 939 1064 1197 1252 1368 1596 1878 2191 2394 2504 2817 3192 3756 4382 4788 5634 5947 6573 7512 8764 9576 11268 11894 13146 17528 17841 19719 22536 23788 26292 35682 39438 41629 47576 52584 53523 71364 78876 83258 107046 124887 142728 157752 166516 214092 249774 333032 374661 428184 499548 749322 999096 1498644 2997288