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3434043114 = 23428175437
BaseRepresentation
bin1100110010101111…
…0101011011101010
322212022202110120000
43030223311123222
524013103334424
61324431243430
7151045612335
oct31453653352
98768673500
103434043114
111502478467
127ba079576
134295b5198
1424810d61c
1515172e3c9
hexccaf56ea

3434043114 has 40 divisors (see below), whose sum is σ = 7722286308. Its totient is φ = 1140592320.

The previous prime is 3434043103. The next prime is 3434043121. The reversal of 3434043114 is 4113404343.

3434043114 is a `hidden beast` number, since 3 + 4 + 340 + 4 + 311 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2880146889 + 553896225 = 53667^2 + 23535^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 7804 + ... + 83240.

Almost surely, 23434043114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434043114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3861143154).

3434043114 is an abundant number, since it is smaller than the sum of its proper divisors (4288243194).

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

3434043114 is a wasteful number, since it uses less digits than its factorization.

3434043114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75732 (or 75723 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3434043114 is about 58600.7091595315. The cubic root of 3434043114 is about 1508.6966098758.

Adding to 3434043114 its reverse (4113404343), we get a palindrome (7547447457).

The spelling of 3434043114 in words is "three billion, four hundred thirty-four million, forty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 281 562 843 1686 2529 5058 7587 15174 22761 45522 75437 150874 226311 452622 678933 1357866 2036799 4073598 6110397 12220794 21197797 42395594 63593391 127186782 190780173 381560346 572340519 1144681038 1717021557 3434043114