Search a number
-
+
98328 = 23317241
BaseRepresentation
bin11000000000011000
311222212210
4120000120
511121303
62035120
7556446
oct300030
9158783
1098328
116796a
1248aa0
13359a9
1427b96
151e203
hex18018

98328 has 32 divisors (see below), whose sum is σ = 261360. Its totient is φ = 30720.

The previous prime is 98327. The next prime is 98347. The reversal of 98328 is 82389.

It is an Ulam number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 98295 and 98304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288 + ... + 528.

298328 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 98328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130680).

98328 is an abundant number, since it is smaller than the sum of its proper divisors (163032).

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

98328 is a wasteful number, since it uses less digits than its factorization.

98328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 98328 is about 313.5729580177. The cubic root of 98328 is about 46.1557418025.

The spelling of 98328 in words is "ninety-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 241 408 482 723 964 1446 1928 2892 4097 5784 8194 12291 16388 24582 32776 49164 98328