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34324003344032 = 2529109339330941
BaseRepresentation
bin1111100110111101011100…
…00001101100111010100000
311111112100020210211201000022
413303132232001230322200
513444331024324002112
6201000121321213012
710141553541363563
oct763365601547240
9144470223751008
1034324003344032
11aa33801076626
123a2427b331168
13161c97cc63a1c
1486940d6984da
153e7ca5894d72
hex1f37ae06cea0

34324003344032 has 48 divisors (see below), whose sum is σ = 70546902841800. Its totient is φ = 16418188200960.

The previous prime is 34324003344023. The next prime is 34324003344047. The reversal of 34324003344032 is 23044330042343.

It can be written as a sum of positive squares in 4 ways, for example, as 33526832935696 + 797170408336 = 5790236^2 + 892844^2 .

It is a super-2 number, since 2×343240033440322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34324003343983 and 34324003344001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169564319 + ... + 169766622.

Almost surely, 234324003344032 is an apocalyptic number.

34324003344032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34324003344032 is an abundant number, since it is smaller than the sum of its proper divisors (36222899497768).

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

34324003344032 is a wasteful number, since it uses less digits than its factorization.

34324003344032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339331089 (or 339331081 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 35.

Adding to 34324003344032 its reverse (23044330042343), we get a palindrome (57368333386375).

The spelling of 34324003344032 in words is "thirty-four trillion, three hundred twenty-four billion, three million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 109 116 218 232 436 464 872 928 1744 3161 3488 6322 12644 25288 50576 101152 339330941 678661882 1357323764 2714647528 5429295056 9840597289 10858590112 19681194578 36987072569 39362389156 73974145138 78724778312 147948290276 157449556624 295896580552 314899113248 591793161104 1072625104501 1183586322208 2145250209002 4290500418004 8581000836008 17162001672016 34324003344032