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34342500524343 = 3112194979338919
BaseRepresentation
bin1111100111011111111001…
…00010110110000100110111
311111121002222220112211012120
413303233330202312010313
514000131420113234333
6201012421004051023
710143110115000144
oct763577442660467
9144532886484176
1034342500524343
11aa40633269a00
123a27981b33a73
13162163a19cb2b
1486a2861453cb
153e84d970adb3
hex1f3bfc8b6137

34342500524343 has 24 divisors (see below), whose sum is σ = 52980166108800. Its totient is φ = 19718182115280.

The previous prime is 34342500524257. The next prime is 34342500524347.

34342500524343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34342500524343 - 216 = 34342500458807 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34342500524295 and 34342500524304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34342500524347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2489662563 + ... + 2489676356.

It is an arithmetic number, because the mean of its divisors is an integer number (2207506921200).

Almost surely, 234342500524343 is an apocalyptic number.

34342500524343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34342500524343 is a deficient number, since it is larger than the sum of its proper divisors (18637665584457).

34342500524343 is a wasteful number, since it uses less digits than its factorization.

34342500524343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4979338963 (or 4979338952 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 42.

It can be divided in two parts, 34342500 and 524343, that added together give a palindrome (34866843).

The spelling of 34342500524343 in words is "thirty-four trillion, three hundred forty-two billion, five hundred million, five hundred twenty-four thousand, three hundred forty-three".

Divisors: 1 3 11 19 33 57 121 209 363 627 2299 6897 4979338919 14938016757 54772728109 94607439461 164318184327 283822318383 602500009199 1040681834071 1807500027597 3122045502213 11447500174781 34342500524343