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3434410341 = 331973293313
BaseRepresentation
bin1100110010110100…
…1111000101100101
322212100110010022000
43030231033011211
524013202112331
61324443155513
7151052002065
oct31455170545
98770403260
103434410341
1115026a935a
127ba215b99
134296b338b
142481a73a5
151517a30e6
hexccb4f165

3434410341 has 64 divisors (see below), whose sum is σ = 5465107200. Its totient is φ = 2125274112.

The previous prime is 3434410333. The next prime is 3434410403. The reversal of 3434410341 is 1430144343.

It is not a de Polignac number, because 3434410341 - 23 = 3434410333 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434410321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10972401 + ... + 10972713.

It is an arithmetic number, because the mean of its divisors is an integer number (85392300).

Almost surely, 23434410341 is an apocalyptic number.

It is an amenable number.

3434410341 is a deficient number, since it is larger than the sum of its proper divisors (2030696859).

3434410341 is a wasteful number, since it uses less digits than its factorization.

3434410341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 701 counting only the distinct ones).

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

The square root of 3434410341 is about 58603.8423740287. The cubic root of 3434410341 is about 1508.7503865625.

Adding to 3434410341 its reverse (1430144343), we get a palindrome (4864554684).

The spelling of 3434410341 in words is "three billion, four hundred thirty-four million, four hundred ten thousand, three hundred forty-one".

Divisors: 1 3 9 19 27 57 73 171 219 293 313 513 657 879 939 1387 1971 2637 2817 4161 5567 5947 7911 8451 12483 16701 17841 21389 22849 37449 50103 53523 64167 68547 91709 150309 160569 192501 205641 275127 406391 434131 577503 616923 825381 1219173 1302393 1742471 2476143 3657519 3907179 5227413 6694757 10972557 11721537 15682239 20084271 47046717 60252813 127200383 180758439 381601149 1144803447 3434410341