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34311342304230 = 23517371818301129
BaseRepresentation
bin1111100110100101110110…
…10111101010101111100110
311111111010120102212020112020
413303102323113222233212
513444124112112213410
6200550225115204010
710140625022333235
oct763227327525746
9144433512766466
1034311342304230
11aa293a4265a72
123a21927146606
13161b712b812b4
1486896bd64b1c
153e77b409aa70
hex1f34bb5eabe6

34311342304230 has 64 divisors (see below), whose sum is σ = 89547694050240. Its totient is φ = 8378731597824.

The previous prime is 34311342304207. The next prime is 34311342304237. The reversal of 34311342304230 is 3240324311343.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34311342304191 and 34311342304200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34311342304237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 909131695 + ... + 909169434.

It is an arithmetic number, because the mean of its divisors is an integer number (1399182719535).

Almost surely, 234311342304230 is an apocalyptic number.

34311342304230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34311342304230 is an abundant number, since it is smaller than the sum of its proper divisors (55236351746010).

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

34311342304230 is a wasteful number, since it uses less digits than its factorization.

34311342304230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818301193.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 34311342304230 its reverse (3240324311343), we get a palindrome (37551666615573).

The spelling of 34311342304230 in words is "thirty-four trillion, three hundred eleven billion, three hundred forty-two million, three hundred four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 102 111 170 185 222 255 370 510 555 629 1110 1258 1887 3145 3774 6290 9435 18870 1818301129 3636602258 5454903387 9091505645 10909806774 18183011290 27274516935 30911119193 54549033870 61822238386 67277141773 92733357579 134554283546 154555595965 185466715158 201831425319 309111191930 336385708865 403662850638 463666787895 672771417730 927333575790 1009157126595 1143711410141 2018314253190 2287422820282 3431134230423 5718557050705 6862268460846 11437114101410 17155671152115 34311342304230