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34000323031024 = 2473143227737669
BaseRepresentation
bin1111011101100010100010…
…01011010010111111110000
311110101101202222020010200021
413232301101023102333300
513424030130143443044
6200151311024533224
710106304462203620
oct756612113227760
9143341688203607
1034000323031024
11a919501a67709
1239915a7481214
1315c82a813a6ac
148578a5576880
153de65e2e1e84
hex1eec512d2ff0

34000323031024 has 80 divisors (see below), whose sum is σ = 79522350561280. Its totient is φ = 13773574160640.

The previous prime is 34000323031013. The next prime is 34000323031027. The reversal of 34000323031024 is 42013032300043.

It is a self number, because there is not a number n which added to its sum of digits gives 34000323031024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000323031027) 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, 113719539 + ... + 114018130.

It is an arithmetic number, because the mean of its divisors is an integer number (994029382016).

Almost surely, 234000323031024 is an apocalyptic number.

It is an amenable number.

34000323031024 is an abundant number, since it is smaller than the sum of its proper divisors (45522027530256).

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

34000323031024 is a wasteful number, since it uses less digits than its factorization.

34000323031024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227737758 (or 227737752 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 34000323031024 its reverse (42013032300043), we get a palindrome (76013355331067).

The spelling of 34000323031024 in words is "thirty-four trillion, three hundred twenty-three million, thirty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 43 56 62 86 112 124 172 217 248 301 344 434 496 602 688 868 1204 1333 1736 2408 2666 3472 4816 5332 9331 10664 18662 21328 37324 74648 149296 227737669 455475338 910950676 1594163683 1821901352 3188327366 3643802704 6376654732 7059867739 9792719767 12753309464 14119735478 19585439534 25506618928 28239470956 39170879068 49419074173 56478941912 68549038369 78341758136 98838148346 112957883824 137098076738 156683516272 197676296692 274196153476 303574312777 395352593384 548392306952 607148625554 790705186768 1096784613904 1214297251108 2125020189439 2428594502216 4250040378878 4857189004432 8500080757756 17000161515512 34000323031024