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340034131340200 = 235211295329688579
BaseRepresentation
bin100110101010000100101110…
…1100111000010101110101000
31122120221221112021000022212201
41031110021131213002232220
5324032104400110341300
63203105305021345544
7131423440522251223
oct11524113547025650
91576857467008781
10340034131340200
1199388735519670
1232178a867082b4
1311797108c5086b
145dd7a4dcdc5ba
15294a104c2066a
hex135425d9c2ba8

340034131340200 has 96 divisors (see below), whose sum is σ = 892189868292000. Its totient is φ = 119385024147200.

The previous prime is 340034131340107. The next prime is 340034131340209. The reversal of 340034131340200 is 2043131430043.

It is not an unprimeable number, because it can be changed into a prime (340034131340209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2664780490 + ... + 2664908089.

It is an arithmetic number, because the mean of its divisors is an integer number (9293644461375).

Almost surely, 2340034131340200 is an apocalyptic number.

It is an amenable number.

340034131340200 is an abundant number, since it is smaller than the sum of its proper divisors (552155736951800).

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

340034131340200 is a wasteful number, since it uses less digits than its factorization.

340034131340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5329688635 (or 5329688626 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 340034131340200 its reverse (2043131430043), we get a palindrome (342077262770243).

The spelling of 340034131340200 in words is "three hundred forty trillion, thirty-four billion, one hundred thirty-one million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 145 200 220 232 275 290 319 440 550 580 638 725 1100 1160 1276 1450 1595 2200 2552 2900 3190 5800 6380 7975 12760 15950 31900 63800 5329688579 10659377158 21318754316 26648442895 42637508632 53296885790 58626574369 106593771580 117253148738 133242214475 154560968791 213187543160 234506297476 266484428950 293132871845 309121937582 469012594952 532968857900 586265743690 618243875164 772804843955 1065937715800 1172531487380 1236487750328 1465664359225 1545609687910 1700170656701 2345062974760 2931328718450 3091219375820 3400341313402 3864024219775 5862657436900 6182438751640 6800682626804 7728048439550 8500853283505 11725314873800 13601365253608 15456096879100 17001706567010 30912193758200 34003413134020 42504266417525 68006826268040 85008532835050 170017065670100 340034131340200