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2320023312 = 243235345641
BaseRepresentation
bin1000101001001000…
…1011111100010000
312222200112101200100
42022102023330100
514222411221222
61022114052400
7111330605235
oct21222137420
95880471610
102320023312
11a90657942
12548b7a100
132ac866079
141801a178c
15d8a294ac
hex8a48bf10

2320023312 has 60 divisors (see below), whose sum is σ = 6511379004. Its totient is φ = 771133440.

The previous prime is 2320023283. The next prime is 2320023313. The reversal of 2320023312 is 2133200232.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1012766976 + 1307256336 = 31824^2 + 36156^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2320023313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28012 + ... + 73652.

Almost surely, 22320023312 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 2320023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255689502).

2320023312 is an abundant number, since it is smaller than the sum of its proper divisors (4191355692).

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

2320023312 is a wasteful number, since it uses less digits than its factorization.

2320023312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46008 (or 45999 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2320023312 is about 48166.6203090896. The cubic root of 2320023312 is about 1323.8256236306.

Adding to 2320023312 its reverse (2133200232), we get a palindrome (4453223544).

The spelling of 2320023312 in words is "two billion, three hundred twenty million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 353 706 1059 1412 2118 2824 3177 4236 5648 6354 8472 12708 16944 25416 45641 50832 91282 136923 182564 273846 365128 410769 547692 730256 821538 1095384 1643076 2190768 3286152 6572304 16111273 32222546 48333819 64445092 96667638 128890184 145001457 193335276 257780368 290002914 386670552 580005828 773341104 1160011656 2320023312