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340034443400320 = 2752232382528331
BaseRepresentation
bin100110101010000100111000…
…0001101011101010010000000
31122120221222100000012121212221
41031110021300031131102000
5324032111020002302240
63203105400010100424
7131423451331600414
oct11524116015352200
91576858300177787
10340034443400320
119938888568aa99
1232178b5311a714
13117971587b1b16
145dd7a7d530d44
15294a122312a4a
hex135427035d480

340034443400320 has 64 divisors (see below), whose sum is σ = 816540109943040. Its totient is φ = 135403850050560.

The previous prime is 340034443400299. The next prime is 340034443400357. The reversal of 340034443400320 is 23004344430043.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3400344434003202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1191121446 + ... + 1191406885.

It is an arithmetic number, because the mean of its divisors is an integer number (12758439217860).

Almost surely, 2340034443400320 is an apocalyptic number.

It is an amenable number.

340034443400320 is an abundant number, since it is smaller than the sum of its proper divisors (476505666542720).

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

340034443400320 is a wasteful number, since it uses less digits than its factorization.

340034443400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382528573 (or 2382528561 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 34.

Adding to 340034443400320 its reverse (23004344430043), we get a palindrome (363038787830363).

The spelling of 340034443400320 in words is "three hundred forty trillion, thirty-four billion, four hundred forty-three million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 223 320 446 640 892 1115 1784 2230 3568 4460 7136 8920 14272 17840 28544 35680 71360 142720 2382528331 4765056662 9530113324 11912641655 19060226648 23825283310 38120453296 47650566620 76240906592 95301133240 152481813184 190602266480 304963626368 381204532960 531303817813 762409065920 1062607635626 1524818131840 2125215271252 2656519089065 4250430542504 5313038178130 8500861085008 10626076356260 17001722170016 21252152712520 34003444340032 42504305425040 68006888680064 85008610850080 170017221700160 340034443400320