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20400332344 = 2372933137951
BaseRepresentation
bin10010111111111101…
…000101111000111000
31221122201211020222121
4102333331011320320
5313234441113334
613212145531024
71321352651410
oct227775057070
957581736877
1020400332344
1187195016a7
123b54043a74
131c01604592
14db7535640
157e5e97db4
hex4bff45e38

20400332344 has 64 divisors (see below), whose sum is σ = 45360230400. Its totient is φ = 8415792000.

The previous prime is 20400332341. The next prime is 20400332363. The reversal of 20400332344 is 44323300402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20400332341) 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, 518569 + ... + 556519.

It is an arithmetic number, because the mean of its divisors is an integer number (708753600).

Almost surely, 220400332344 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 20400332344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680115200).

20400332344 is an abundant number, since it is smaller than the sum of its proper divisors (24959898056).

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

20400332344 is a wasteful number, since it uses less digits than its factorization.

20400332344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38324 (or 38320 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 20400332344 its reverse (44323300402), we get a palindrome (64723632746).

The spelling of 20400332344 in words is "twenty billion, four hundred million, three hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 331 406 662 812 1324 1624 2317 2648 4634 9268 9599 18536 19198 37951 38396 67193 75902 76792 134386 151804 265657 268772 303608 531314 537544 1062628 1100579 2125256 2201158 4402316 7704053 8804632 12561781 15408106 25123562 30816212 50247124 61632424 87932467 100494248 175864934 351729868 364291649 703459736 728583298 1457166596 2550041543 2914333192 5100083086 10200166172 20400332344