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6998328 = 233237271
BaseRepresentation
bin11010101100100100111000
3111011112220100
4122230210320
53242421303
6405555400
7113325201
oct32544470
914145810
106998328
113a4aa47
122415b60
1315b052c
14d025a8
159338a3
hex6ac938

6998328 has 72 divisors (see below), whose sum is σ = 19754280. Its totient is φ = 2237760.

The previous prime is 6998297. The next prime is 6998353. The reversal of 6998328 is 8238996.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 98533 + ... + 98603.

It is an arithmetic number, because the mean of its divisors is an integer number (274365).

Almost surely, 26998328 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 6998328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9877140).

6998328 is an abundant number, since it is smaller than the sum of its proper divisors (12755952).

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

6998328 is a wasteful number, since it uses less digits than its factorization.

6998328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 113 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 6998328 is about 2645.4353138945. The cubic root of 6998328 is about 191.2778864885.

The spelling of 6998328 in words is "six million, nine hundred ninety-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 71 72 74 111 142 148 213 222 284 296 333 426 444 568 639 666 852 888 1278 1332 1369 1704 2556 2627 2664 2738 4107 5112 5254 5476 7881 8214 10508 10952 12321 15762 16428 21016 23643 24642 31524 32856 47286 49284 63048 94572 97199 98568 189144 194398 291597 388796 583194 777592 874791 1166388 1749582 2332776 3499164 6998328