Search a number
-
+
2034423430344 = 233260147014777
BaseRepresentation
bin11101100110101101000…
…101011111110011001000
321012111012110121022000200
4131212231011133303020
5231312444344232334
64154333510332200
7266660623556214
oct35465505376310
97174173538020
102034423430344
11714880a97578
1228a35035a060
13119acb1a4076
1470676591944
1537dc011c799
hex1d9ad15fcc8

2034423430344 has 48 divisors (see below), whose sum is σ = 5519064789420. Its totient is φ = 677012774400.

The previous prime is 2034423430241. The next prime is 2034423430373. The reversal of 2034423430344 is 4430343244302.

2034423430344 is a `hidden beast` number, since 2 + 0 + 344 + 2 + 3 + 4 + 303 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1713580485444 + 320842944900 = 1309038^2 + 566430^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2034423430299 and 2034423430308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23464117 + ... + 23550660.

Almost surely, 22034423430344 is an apocalyptic number.

2034423430344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2034423430344 is an abundant number, since it is smaller than the sum of its proper divisors (3484641359076).

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

2034423430344 is a wasteful number, since it uses less digits than its factorization.

2034423430344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47015390 (or 47015383 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 2034423430344 its reverse (4430343244302), we get a palindrome (6464766674646).

The spelling of 2034423430344 in words is "two trillion, thirty-four billion, four hundred twenty-three million, four hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 601 1202 1803 2404 3606 4808 5409 7212 10818 14424 21636 43272 47014777 94029554 141044331 188059108 282088662 376118216 423132993 564177324 846265986 1128354648 1692531972 3385063944 28255880977 56511761954 84767642931 113023523908 169535285862 226047047816 254302928793 339070571724 508605857586 678141143448 1017211715172 2034423430344