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3418985829 = 37234966643
BaseRepresentation
bin1100101111001001…
…1001010101100101
322211021102110211210
43023302121111211
524000230021304
61323132422033
7150503620500
oct31362312545
98737373753
103418985829
1114a4a23726
127b5017919
1342644274c
14246110137
15150257c89
hexcbc99565

3418985829 has 24 divisors (see below), whose sum is σ = 5318191200. Its totient is φ = 1948078944.

The previous prime is 3418985809. The next prime is 3418985831. The reversal of 3418985829 is 9285898143.

It is a happy number.

It is not a de Polignac number, because 3418985829 - 25 = 3418985797 is a prime.

It is a super-3 number, since 3×34189858293 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3418985809) 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 23 ways as a sum of consecutive naturals, for example, 17982 + ... + 84624.

It is an arithmetic number, because the mean of its divisors is an integer number (221591300).

Almost surely, 23418985829 is an apocalyptic number.

It is an amenable number.

3418985829 is a deficient number, since it is larger than the sum of its proper divisors (1899205371).

3418985829 is a wasteful number, since it uses less digits than its factorization.

3418985829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67009 (or 67002 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 57.

The square root of 3418985829 is about 58472.0944468385. The cubic root of 3418985829 is about 1506.4883131731.

The spelling of 3418985829 in words is "three billion, four hundred eighteen million, nine hundred eighty-five thousand, eight hundred twenty-nine".

Divisors: 1 3 7 21 49 147 349 1047 2443 7329 17101 51303 66643 199929 466501 1399503 3265507 9796521 23258407 69775221 162808849 488426547 1139661943 3418985829