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66345435 = 325131947127
BaseRepresentation
bin1111110100010…
…1100111011011
311121211200211100
43331011213123
5113441023220
610330002443
71433632632
oct375054733
9147750740
1066345435
11344a5342
121a276423
131098c270
148b50519
155c57d90
hex3f459db

66345435 has 96 divisors (see below), whose sum is σ = 134184960. Its totient is φ = 30046464.

The previous prime is 66345427. The next prime is 66345437. The reversal of 66345435 is 53454366.

It is not a de Polignac number, because 66345435 - 23 = 66345427 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66345435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66345437) 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 95 ways as a sum of consecutive naturals, for example, 522342 + ... + 522468.

It is an arithmetic number, because the mean of its divisors is an integer number (1397760).

Almost surely, 266345435 is an apocalyptic number.

66345435 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

66345435 is an abundant number, since it is smaller than the sum of its proper divisors (67839525).

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

66345435 is a wasteful number, since it uses less digits than its factorization.

66345435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 214 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 66345435 is about 8145.2707137332. The cubic root of 66345435 is about 404.8278188992.

The spelling of 66345435 in words is "sixty-six million, three hundred forty-five thousand, four hundred thirty-five".

Divisors: 1 3 5 9 13 15 19 39 45 47 57 65 95 117 127 141 171 195 235 247 285 381 423 585 611 635 705 741 855 893 1143 1235 1651 1833 1905 2115 2223 2413 2679 3055 3705 4465 4953 5499 5715 5969 7239 8037 8255 9165 11115 11609 12065 13395 14859 17907 21717 24765 27495 29845 31369 34827 36195 40185 53721 58045 74295 77597 89535 94107 104481 108585 113411 156845 174135 232791 268605 282321 340233 387985 470535 522405 567055 698373 1020699 1163955 1411605 1474343 1701165 3491865 4423029 5103495 7371715 13269087 22115145 66345435