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2993298 = 2371121931
BaseRepresentation
bin1011011010110010010010
312122002000220
423122302102
51231241143
6144053510
734304550
oct13326222
95562026
102993298
111764a00
121004296
1380a5a9
1457cbd0
153e1d83
hex2dac92

2993298 has 96 divisors (see below), whose sum is σ = 8171520. Its totient is φ = 712800.

The previous prime is 2993297. The next prime is 2993299. The reversal of 2993298 is 8923992.

2993298 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 (2993297) and next prime (2993299).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2993297) 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 47 ways as a sum of consecutive naturals, for example, 96543 + ... + 96573.

It is an arithmetic number, because the mean of its divisors is an integer number (85120).

22993298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2993298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085760).

2993298 is an abundant number, since it is smaller than the sum of its proper divisors (5178222).

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

2993298 is a wasteful number, since it uses less digits than its factorization.

2993298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 73 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 2993298 is about 1730.1150250778. The cubic root of 2993298 is about 144.1174774365.

The spelling of 2993298 in words is "two million, nine hundred ninety-three thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 7 11 14 19 21 22 31 33 38 42 57 62 66 77 93 114 121 133 154 186 209 217 231 242 266 341 363 399 418 434 462 589 627 651 682 726 798 847 1023 1178 1254 1302 1463 1694 1767 2046 2299 2387 2541 2926 3534 3751 4123 4389 4598 4774 5082 6479 6897 7161 7502 8246 8778 11253 12369 12958 13794 14322 16093 19437 22506 24738 26257 32186 38874 45353 48279 52514 71269 78771 90706 96558 136059 142538 157542 213807 272118 427614 498883 997766 1496649 2993298