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2024240332340 = 225192929301793
BaseRepresentation
bin11101011101001110001…
…000000011111000110100
321011111220210022022122202
4131131032020003320310
5231131121011113330
64145531223244032
7266150363633642
oct35351610037064
97144823268582
102024240332340
117105259942a6
12288389ba9618
13118b675998a5
146dd8bdaa192
15379c6143445
hex1d74e203e34

2024240332340 has 72 divisors (see below), whose sum is σ = 4491256056840. Its totient is φ = 766252302336.

The previous prime is 2024240332339. The next prime is 2024240332351. The reversal of 2024240332340 is 432330424202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39060779044 + 1985179553296 = 197638^2 + 1408964^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6556484 + ... + 6858276.

It is an arithmetic number, because the mean of its divisors is an integer number (62378556345).

Almost surely, 22024240332340 is an apocalyptic number.

2024240332340 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 2024240332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245628028420).

2024240332340 is an abundant number, since it is smaller than the sum of its proper divisors (2467015724500).

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

2024240332340 is a wasteful number, since it uses less digits than its factorization.

2024240332340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302769 (or 302748 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 2024240332340 its reverse (432330424202), we get a palindrome (2456570756542).

The spelling of 2024240332340 in words is "two trillion, twenty-four billion, two hundred forty million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 929 1444 1805 1858 3610 3716 4645 7220 9290 17651 18580 35302 70604 88255 176510 301793 335369 353020 603586 670738 1207172 1341476 1508965 1676845 3017930 3353690 5734067 6035860 6707380 11468134 22936268 28670335 57340670 108947273 114681340 217894546 280365697 435789092 544736365 560731394 1089472730 1121462788 1401828485 2178945460 2803656970 5326948243 5607313940 10653896486 21307792972 26634741215 53269482430 101212016617 106538964860 202424033234 404848066468 506060083085 1012120166170 2024240332340