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998424 = 233272283
BaseRepresentation
bin11110011110000011000
31212201120200
43303300120
5223422144
633222200
711325600
oct3636030
91781520
10998424
11622149
12401960
1328c5ab
141bdc00
1514ac69
hexf3c18

998424 has 72 divisors (see below), whose sum is σ = 3156660. Its totient is φ = 284256.

The previous prime is 998423. The next prime is 998429. The reversal of 998424 is 424899.

It is a happy number.

998424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 6.

It is a zygodrome in base 2 and base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998423) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3387 + ... + 3669.

2998424 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 998424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578330).

998424 is an abundant number, since it is smaller than the sum of its proper divisors (2158236).

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

998424 is a wasteful number, since it uses less digits than its factorization.

998424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 998424 is about 999.2116892831. The cubic root of 998424 is about 99.9474390450.

The spelling of 998424 in words is "nine hundred ninety-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 283 294 392 441 504 566 588 849 882 1132 1176 1698 1764 1981 2264 2547 3396 3528 3962 5094 5943 6792 7924 10188 11886 13867 15848 17829 20376 23772 27734 35658 41601 47544 55468 71316 83202 110936 124803 142632 166404 249606 332808 499212 998424