Search a number
-
+
230248304 = 24111327741
BaseRepresentation
bin11011011100101…
…00111101110000
3121001020211021222
431232110331300
5432420421204
634503004212
75464035566
oct1556247560
9531224258
10230248304
11108a72a60
1265139668
1338918300
1422817a36
1515331abe
hexdb94f70

230248304 has 60 divisors (see below), whose sum is σ = 527044392. Its totient is φ = 96595200.

The previous prime is 230248303. The next prime is 230248349. The reversal of 230248304 is 403842032.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230248301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25874 + ... + 33614.

Almost surely, 2230248304 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 230248304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263522196).

230248304 is an abundant number, since it is smaller than the sum of its proper divisors (296796088).

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

230248304 is a wasteful number, since it uses less digits than its factorization.

230248304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7786 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 230248304 is about 15173.9350202906. The cubic root of 230248304 is about 612.9129723069.

The spelling of 230248304 in words is "two hundred thirty million, two hundred forty-eight thousand, three hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 169 176 208 286 338 572 676 1144 1352 1859 2288 2704 3718 7436 7741 14872 15482 29744 30964 61928 85151 100633 123856 170302 201266 340604 402532 681208 805064 1106963 1308229 1362416 1610128 2213926 2616458 4427852 5232916 8855704 10465832 14390519 17711408 20931664 28781038 57562076 115124152 230248304