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2321212344 = 2331115756003
BaseRepresentation
bin1000101001011010…
…1110001110111000
312222202202210201120
42022112232032320
514223212243334
61022155345240
7111343656633
oct21226561670
95882683646
102321212344
11a9129a210
12549452220
132acb91339
141803d0c1a
15d8bb1949
hex8a5ae3b8

2321212344 has 64 divisors (see below), whose sum is σ = 6371015040. Its totient is φ = 698904960.

The previous prime is 2321212343. The next prime is 2321212367. The reversal of 2321212344 is 4432121232.

It is a happy number.

2321212344 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 (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2321212343) 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, 13447 + ... + 69449.

It is an arithmetic number, because the mean of its divisors is an integer number (99547110).

Almost surely, 22321212344 is an apocalyptic number.

2321212344 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 2321212344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185507520).

2321212344 is an abundant number, since it is smaller than the sum of its proper divisors (4049802696).

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

2321212344 is a wasteful number, since it uses less digits than its factorization.

2321212344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56180 (or 56176 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2321212344 is about 48178.9616326463. The cubic root of 2321212344 is about 1324.0517423638.

Adding to 2321212344 its reverse (4432121232), we get a palindrome (6753333576).

The spelling of 2321212344 in words is "two billion, three hundred twenty-one million, two hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 157 264 314 471 628 942 1256 1727 1884 3454 3768 5181 6908 10362 13816 20724 41448 56003 112006 168009 224012 336018 448024 616033 672036 1232066 1344072 1848099 2464132 3696198 4928264 7392396 8792471 14784792 17584942 26377413 35169884 52754826 70339768 96717181 105509652 193434362 211019304 290151543 386868724 580303086 773737448 1160606172 2321212344