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66112434 = 2324438291
BaseRepresentation
bin1111110000110…
…0101110110010
311121101212012200
43330030232302
5113411044214
610321004030
71431642423
oct374145662
9147355180
1066112434
1134356283
121a183616
131090a1ab
148acd64a
155c0dd09
hex3f0cbb2

66112434 has 24 divisors (see below), whose sum is σ = 143584272. Its totient is φ = 21985080.

The previous prime is 66112433. The next prime is 66112441. The reversal of 66112434 is 43421166.

66112434 is a `hidden beast` number, since 6 + 611 + 2 + 43 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66112398 and 66112407.

It is not an unprimeable number, because it can be changed into a prime (66112433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3829 + ... + 12119.

It is an arithmetic number, because the mean of its divisors is an integer number (5982678).

Almost surely, 266112434 is an apocalyptic number.

66112434 is an abundant number, since it is smaller than the sum of its proper divisors (77471838).

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

66112434 is a wasteful number, since it uses less digits than its factorization.

66112434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8742 (or 8739 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 66112434 is about 8130.9552944288. The cubic root of 66112434 is about 404.3533530771.

It can be divided in two parts, 6611 and 2434, that added together give a triangular number (9045 = T134).

The spelling of 66112434 in words is "sixty-six million, one hundred twelve thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 443 886 1329 2658 3987 7974 8291 16582 24873 49746 74619 149238 3672913 7345826 11018739 22037478 33056217 66112434