Search a number
-
+
304650066 = 23719271283
BaseRepresentation
bin10010001010001…
…001011101010010
3210020020211022210
4102022021131102
51110442300231
650121412550
710356324420
oct2212113522
9706224283
10304650066
11146a70116
128603a156
134b168516
142c664110
151bb2ba46
hex12289752

304650066 has 96 divisors (see below), whose sum is σ = 747906048. Its totient is φ = 81012960.

The previous prime is 304649963. The next prime is 304650067. The reversal of 304650066 is 660056403.

It is not an unprimeable number, because it can be changed into a prime (304650067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076361 + ... + 1076643.

It is an arithmetic number, because the mean of its divisors is an integer number (7790688).

Almost surely, 2304650066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304650066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373953024).

304650066 is an abundant number, since it is smaller than the sum of its proper divisors (443255982).

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

304650066 is a wasteful number, since it uses less digits than its factorization.

304650066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 304650066 is about 17454.2277400061. The cubic root of 304650066 is about 672.8740177507.

It can be divided in two parts, 304 and 650066, that added together give a triangular number (650370 = T1140).

The spelling of 304650066 in words is "three hundred four million, six hundred fifty thousand, sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 71 114 133 142 213 266 283 361 399 426 497 566 722 798 849 994 1083 1349 1491 1698 1981 2166 2527 2698 2982 3962 4047 5054 5377 5943 7581 8094 9443 10754 11886 15162 16131 18886 20093 25631 28329 32262 37639 40186 51262 56658 60279 75278 76893 102163 112917 120558 140651 153786 179417 204326 225834 281302 306489 358834 381767 421953 538251 612978 715141 763534 843906 1076502 1145301 1430282 2145423 2290602 2672369 4290846 5344738 7253573 8017107 14507146 16034214 21760719 43521438 50775011 101550022 152325033 304650066