Search a number
-
+
66335346 = 232711219229
BaseRepresentation
bin1111110100001…
…1001001110010
311121211011222200
43331003021302
5113440212341
610325444030
71433561340
oct375031162
9147734880
1066335346
1134498800
121a270616
13109877ac
148b4a990
155c54db6
hex3f43272

66335346 has 144 divisors (see below), whose sum is σ = 190881600. Its totient is φ = 16251840.

The previous prime is 66335323. The next prime is 66335393. The reversal of 66335346 is 64353366.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 66335346.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 289560 + ... + 289788.

Almost surely, 266335346 is an apocalyptic number.

66335346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66335346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95440800).

66335346 is an abundant number, since it is smaller than the sum of its proper divisors (124546254).

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

66335346 is a wasteful number, since it uses less digits than its factorization.

66335346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 271 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 66335346 is about 8144.6513737544. The cubic root of 66335346 is about 404.8072974425.

The spelling of 66335346 in words is "sixty-six million, three hundred thirty-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 121 126 133 154 171 198 209 229 231 242 266 342 363 399 418 458 462 627 687 693 726 798 847 1089 1197 1254 1374 1386 1463 1603 1694 1881 2061 2178 2299 2394 2519 2541 2926 3206 3762 4122 4351 4389 4598 4809 5038 5082 6897 7557 7623 8702 8778 9618 13053 13167 13794 14427 15114 15246 16093 17633 20691 22671 26106 26334 27709 28854 30457 32186 35266 39159 41382 45342 47861 48279 52899 55418 60914 78318 83127 91371 95722 96558 105798 143583 144837 158697 166254 182742 193963 249381 274113 287166 289674 317394 335027 387926 430749 498762 526471 548226 581889 670054 861498 1005081 1052942 1163778 1579413 1745667 2010162 3015243 3158826 3491334 3685297 4738239 6030486 7370594 9476478 11055891 22111782 33167673 66335346