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340034420431040 = 2654843721937931
BaseRepresentation
bin100110101010000100110111…
…0110101110101100011000000
31122120221222021101222122221212
41031110021232311311203000
5324032110443112243130
63203105353425505252
7131423450632423526
oct11524115665654300
91576858241878855
10340034420431040
1199388873721915
1232178b474a2228
1311797153acc02a
145dd7a7a472316
15294a1202c6e95
hex135426ed758c0

340034420431040 has 56 divisors (see below), whose sum is σ = 809723717264592. Its totient is φ = 136010953917440.

The previous prime is 340034420430983. The next prime is 340034420431049. The reversal of 340034420431040 is 40134024430043.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 340034420430988 and 340034420431006.

It is not an unprimeable number, because it can be changed into a prime (340034420431049) 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 7 ways as a sum of consecutive naturals, for example, 4530875 + ... + 26468805.

Almost surely, 2340034420431040 is an apocalyptic number.

It is an amenable number.

340034420431040 is an abundant number, since it is smaller than the sum of its proper divisors (469689296833552).

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

340034420431040 is a wasteful number, since it uses less digits than its factorization.

340034420431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21986385 (or 21986375 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 340034420431040 its reverse (40134024430043), we get a palindrome (380168444861083).

The spelling of 340034420431040 in words is "three hundred forty trillion, thirty-four billion, four hundred twenty million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 48437 96874 193748 242185 387496 484370 774992 968740 1549984 1937480 3099968 3874960 7749920 15499840 21937931 43875862 87751724 109689655 175503448 219379310 351006896 438758620 702013792 877517240 1404027584 1755034480 3510068960 7020137920 1062607563847 2125215127694 4250430255388 5313037819235 8500860510776 10626075638470 17001721021552 21252151276940 34003442043104 42504302553880 68006884086208 85008605107760 170017210215520 340034420431040