Search a number
-
+
23398284 = 22372133061
BaseRepresentation
bin101100101000…
…0011110001100
31122000202102010
41121100132030
521442221114
62153301220
7402611400
oct131203614
948022363
1023398284
1112231528
127a04810
134b03150
143171100
1520c2c59
hex165078c

23398284 has 72 divisors (see below), whose sum is σ = 68417328. Its totient is φ = 6168960.

The previous prime is 23398259. The next prime is 23398289. The reversal of 23398284 is 48289332.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (23398289) 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 23 ways as a sum of consecutive naturals, for example, 6114 + ... + 9174.

Almost surely, 223398284 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 23398284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34208664).

23398284 is an abundant number, since it is smaller than the sum of its proper divisors (45019044).

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

23398284 is a wasteful number, since it uses less digits than its factorization.

23398284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3086 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 23398284 is about 4837.1772760568. The cubic root of 23398284 is about 286.0188586844.

The spelling of 23398284 in words is "twenty-three million, three hundred ninety-eight thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3061 3822 6122 7644 9183 12244 18366 21427 36732 39793 42854 64281 79586 85708 119379 128562 149989 159172 238758 257124 278551 299978 449967 477516 557102 599956 835653 899934 1114204 1671306 1799868 1949857 3342612 3899714 5849571 7799428 11699142 23398284