Search a number
-
+
230370768 = 24323734289
BaseRepresentation
bin11011011101100…
…10110111010000
3121001111001021200
431232302313100
5432433331033
634505351200
75465055615
oct1556626720
9531431250
10230370768
11109046a71
1265198500
133895bc84
142284a50c
1515358013
hexdbb2dd0

230370768 has 60 divisors (see below), whose sum is σ = 646597380. Its totient is φ = 76566528.

The previous prime is 230370731. The next prime is 230370821. The reversal of 230370768 is 867073032.

It can be written as a sum of positive squares in 2 ways, for example, as 178703424 + 51667344 = 13368^2 + 7188^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51568 + ... + 55856.

It is an arithmetic number, because the mean of its divisors is an integer number (10776623).

Almost surely, 2230370768 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 230370768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323298690).

230370768 is an abundant number, since it is smaller than the sum of its proper divisors (416226612).

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

230370768 is a wasteful number, since it uses less digits than its factorization.

230370768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 230370768 is about 15177.9698247163. The cubic root of 230370768 is about 613.0216180158.

The spelling of 230370768 in words is "two hundred thirty million, three hundred seventy thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 373 746 1119 1492 2238 2984 3357 4289 4476 5968 6714 8578 8952 12867 13428 17156 17904 25734 26856 34312 38601 51468 53712 68624 77202 102936 154404 205872 308808 617616 1599797 3199594 4799391 6399188 9598782 12798376 14398173 19197564 25596752 28796346 38395128 57592692 76790256 115185384 230370768