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998298 = 233719139
BaseRepresentation
bin11110011101110011010
31212201102000
43303232122
5223421143
633221430
711325330
oct3635632
91781360
10998298
11622044
12401876
1328c512
141bdb50
1514abd3
hexf3b9a

998298 has 64 divisors (see below), whose sum is σ = 2688000. Its totient is φ = 268272.

The previous prime is 998287. The next prime is 998311. The reversal of 998298 is 892899.

It is a super-4 number, since 4×9982984 (a number of 25 digits) contains 4444 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 998298.

It is an unprimeable number.

998298 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7113 + ... + 7251.

It is an arithmetic number, because the mean of its divisors is an integer number (42000).

2998298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344000).

998298 is an abundant number, since it is smaller than the sum of its proper divisors (1689702).

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

998298 is a wasteful number, since it uses less digits than its factorization.

998298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 998298 is about 999.1486375910. The cubic root of 998298 is about 99.9432344495.

It can be divided in two parts, 998 and 298, that added together give a 4-th power (1296 = 64).

The spelling of 998298 in words is "nine hundred ninety-eight thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 139 171 189 266 278 342 378 399 417 513 798 834 973 1026 1197 1251 1946 2394 2502 2641 2919 3591 3753 5282 5838 7182 7506 7923 8757 15846 17514 18487 23769 26271 36974 47538 52542 55461 71307 110922 142614 166383 332766 499149 998298