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34341214120 = 2352068141513
BaseRepresentation
bin11111111110111001…
…010101011110101000
310021122022001102121021
4133332321111132220
51030312322322440
623435351222224
72324002334533
oct377671253650
9107568042537
1034341214120
11136227a14a4
1267a4977974
1333138b4955
14193ac1da1a
15d5ecee84a
hex7fee557a8

34341214120 has 32 divisors (see below), whose sum is σ = 77273329320. Its totient is φ = 13735490560.

The previous prime is 34341214093. The next prime is 34341214133. The reversal of 34341214120 is 2141214343.

It can be written as a sum of positive squares in 4 ways, for example, as 24381573316 + 9959640804 = 156146^2 + 99798^2 .

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 7 ways as a sum of consecutive naturals, for example, 806484 + ... + 847996.

Almost surely, 234341214120 is an apocalyptic number.

It is an amenable number.

34341214120 is an abundant number, since it is smaller than the sum of its proper divisors (42932115200).

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

34341214120 is a wasteful number, since it uses less digits than its factorization.

34341214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62205 (or 62201 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 34341214120 its reverse (2141214343), we get a palindrome (36482428463).

The spelling of 34341214120 in words is "thirty-four billion, three hundred forty-one million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 20681 41362 41513 82724 83026 103405 165448 166052 206810 207565 332104 413620 415130 827240 830260 1660520 858530353 1717060706 3434121412 4292651765 6868242824 8585303530 17170607060 34341214120