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230311320 = 23353535437
BaseRepresentation
bin11011011101001…
…00010110011000
3121001101000201220
431232210112120
5432424430240
634504212040
75464420401
oct1556442630
9531330656
10230311320
11109006338
126516a020
133893abb5
14228329a8
15153455d0
hexdba4598

230311320 has 64 divisors (see below), whose sum is σ = 693018720. Its totient is φ = 61231104.

The previous prime is 230311303. The next prime is 230311349. The reversal of 230311320 is 23113032.

230311320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230311320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39642 + ... + 45078.

Almost surely, 2230311320 is an apocalyptic number.

230311320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346509360).

230311320 is an abundant number, since it is smaller than the sum of its proper divisors (462707400).

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

230311320 is a wasteful number, since it uses less digits than its factorization.

230311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5804 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 230311320 is about 15176.0113336805. The cubic root of 230311320 is about 612.9688826729.

Adding to 230311320 its reverse (23113032), we get a palindrome (253424352).

The spelling of 230311320 in words is "two hundred thirty million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 353 706 1059 1412 1765 2118 2824 3530 4236 5295 5437 7060 8472 10590 10874 14120 16311 21180 21748 27185 32622 42360 43496 54370 65244 81555 108740 130488 163110 217480 326220 652440 1919261 3838522 5757783 7677044 9596305 11515566 15354088 19192610 23031132 28788915 38385220 46062264 57577830 76770440 115155660 230311320