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2323344144 = 2431111513823
BaseRepresentation
bin1000101001111011…
…0110101100010000
312222220210010000010
42022132312230100
514224234003034
61022313154520
7111401046042
oct21236665420
95886703003
102323344144
11a92515930
1254a0bba40
132b0459764
141807c7a92
15d8e833e9
hex8a7b6b10

2323344144 has 80 divisors (see below), whose sum is σ = 6555009024. Its totient is φ = 703248000.

The previous prime is 2323344143. The next prime is 2323344157. The reversal of 2323344144 is 4414433232.

It is a happy number.

It is a super-3 number, since 3×23233441443 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2323344143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605817 + ... + 609639.

Almost surely, 22323344144 is an apocalyptic number.

2323344144 is a gapful number since it is divisible by the number (24) 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 2323344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277504512).

2323344144 is an abundant number, since it is smaller than the sum of its proper divisors (4231664880).

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

2323344144 is a wasteful number, since it uses less digits than its factorization.

2323344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4990 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 2323344144 is about 48201.0803198435. The cubic root of 2323344144 is about 1324.4569544443.

Adding to 2323344144 its reverse (4414433232), we get a palindrome (6737777376).

The spelling of 2323344144 in words is "two billion, three hundred twenty-three million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1151 2302 3453 3823 4604 6906 7646 9208 11469 12661 13812 15292 18416 22938 25322 27624 30584 37983 42053 45876 50644 55248 61168 75966 84106 91752 101288 126159 151932 168212 183504 202576 252318 303864 336424 504636 607728 672848 1009272 2018544 4400273 8800546 13200819 17601092 26401638 35202184 48403003 52803276 70404368 96806006 105606552 145209009 193612012 211213104 290418018 387224024 580836036 774448048 1161672072 2323344144