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340334110312 = 2372181226501
BaseRepresentation
bin1001111001111010111…
…11100110011001101000
31012112110110200010102121
410330331133212121220
521034001013012222
6420203005041024
733405540130600
oct4747537463150
91175413603377
10340334110312
11121375807369
1255b61256174
132612a192a81
1412687c41c00
158cbd6915c7
hex4f3d7e6668

340334110312 has 72 divisors (see below), whose sum is σ = 746462355030. Its totient is φ = 145046160000.

The previous prime is 340334110307. The next prime is 340334110321. The reversal of 340334110312 is 213011433043.

It can be written as a sum of positive squares in 3 ways, for example, as 56251506276 + 284082604036 = 237174^2 + 532994^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 12829062 + ... + 12855562.

Almost surely, 2340334110312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340334110312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373231177515).

340334110312 is an abundant number, since it is smaller than the sum of its proper divisors (406128244718).

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

340334110312 is a wasteful number, since it uses less digits than its factorization.

340334110312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26883 (or 26691 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 340334110312 its reverse (213011433043), we get a palindrome (553345543355).

The spelling of 340334110312 in words is "three hundred forty billion, three hundred thirty-four million, one hundred ten thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 181 196 362 392 724 1267 1448 2534 5068 8869 10136 17738 26501 32761 35476 53002 65522 70952 106004 131044 185507 212008 229327 262088 371014 458654 742028 917308 1298549 1484056 1605289 1834616 2597098 3210578 4796681 5194196 6421156 9593362 10388392 12842312 19186724 33576767 38373448 67153534 134307068 235037369 268614136 470074738 868199261 940149476 1736398522 1880298952 3472797044 6077394827 6945594088 12154789654 24309579308 42541763789 48619158616 85083527578 170167055156 340334110312