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34542113340 = 22357174837831
BaseRepresentation
bin100000001010110111…
…101101001000111100
310022011022002011112010
4200022313231020330
51031220240111330
623511325211220
72331662055540
oct401267551074
9108138064463
1034542113340
1113716139009
126840100b10
1333463c5327
141959797a20
15d727853b0
hex80aded23c

34542113340 has 96 divisors (see below), whose sum is σ = 117036831744. Its totient is φ = 7430906880.

The previous prime is 34542113327. The next prime is 34542113363. The reversal of 34542113340 is 4331124543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34542113298 and 34542113307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2411776 + ... + 2426055.

It is an arithmetic number, because the mean of its divisors is an integer number (1219133664).

Almost surely, 234542113340 is an apocalyptic number.

34542113340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34542113340 is an abundant number, since it is smaller than the sum of its proper divisors (82494718404).

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

34542113340 is a wasteful number, since it uses less digits than its factorization.

34542113340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4837867 (or 4837865 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 34542113340 its reverse (4331124543), we get a palindrome (38873237883).

The spelling of 34542113340 in words is "thirty-four billion, five hundred forty-two million, one hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 4837831 9675662 14513493 19351324 24189155 29026986 33864817 48378310 58053972 67729634 72567465 82243127 96756620 101594451 135459268 145134930 164486254 169324085 203188902 246729381 290269860 328972508 338648170 406377804 411215635 493458762 507972255 575701889 677296340 822431270 986917524 1015944510 1151403778 1233646905 1644862540 1727105667 2031889020 2302807556 2467293810 2878509445 3454211334 4934587620 5757018890 6908422668 8635528335 11514037780 17271056670 34542113340