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66424134 = 23717313001
BaseRepresentation
bin1111110101100…
…0110101000110
311121222200210010
43331120311012
5114001033014
610331411050
71434411240
oct375306506
9147880703
1066424134
1134549487
121a2b3a86
13109b902a
148b71090
155c71359
hex3f58d46

66424134 has 64 divisors (see below), whose sum is σ = 165998592. Its totient is φ = 17280000.

The previous prime is 66424129. The next prime is 66424177. The reversal of 66424134 is 43142466.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20634 + ... + 23634.

It is an arithmetic number, because the mean of its divisors is an integer number (2593728).

Almost surely, 266424134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66424134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82999296).

66424134 is an abundant number, since it is smaller than the sum of its proper divisors (99574458).

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

66424134 is a wasteful number, since it uses less digits than its factorization.

66424134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061.

The product of its digits is 13824, while the sum is 30.

The square root of 66424134 is about 8150.1002447823. The cubic root of 66424134 is about 404.9878246607.

The spelling of 66424134 in words is "sixty-six million, four hundred twenty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 31 34 42 51 62 93 102 119 186 217 238 357 434 527 651 714 1054 1302 1581 3001 3162 3689 6002 7378 9003 11067 18006 21007 22134 42014 51017 63021 93031 102034 126042 153051 186062 279093 306102 357119 558186 651217 714238 1071357 1302434 1581527 1953651 2142714 3163054 3907302 4744581 9489162 11070689 22141378 33212067 66424134