Search a number
-
+
304242642 = 2341131783
BaseRepresentation
bin10010001000100…
…101111111010010
3210012111010110000
4102020211333102
51110341231032
650104550430
710353006534
oct2210457722
9705433400
10304242642
11146812000
1285a82416
134b054c42
142c599854
151ba9ae7c
hex12225fd2

304242642 has 160 divisors (see below), whose sum is σ = 803525184. Its totient is φ = 85726080.

The previous prime is 304242641. The next prime is 304242647. The reversal of 304242642 is 246242403.

It is a super-2 number, since 2×3042426422 = 185127170422280328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (304242641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3665533 + ... + 3665615.

Almost surely, 2304242642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304242642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401762592).

304242642 is an abundant number, since it is smaller than the sum of its proper divisors (499282542).

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

304242642 is a wasteful number, since it uses less digits than its factorization.

304242642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 304242642 is about 17442.5526228244. The cubic root of 304242642 is about 672.5739277407.

The spelling of 304242642 in words is "three hundred four million, two hundred forty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 83 99 102 121 153 162 166 187 198 242 249 297 306 363 374 459 498 561 594 726 747 891 913 918 1089 1122 1331 1377 1411 1494 1683 1782 1826 2057 2178 2241 2662 2739 2754 2822 3267 3366 3993 4114 4233 4482 5049 5478 6171 6534 6723 7986 8217 8466 9801 10043 10098 11979 12342 12699 13446 15147 15521 16434 18513 19602 20086 22627 23958 24651 25398 30129 30294 31042 35937 37026 38097 45254 46563 49302 55539 60258 67881 71874 73953 76194 90387 93126 107811 110473 111078 114291 135762 139689 147906 166617 170731 180774 203643 215622 220946 228582 271161 279378 331419 333234 341462 407286 419067 512193 542322 610929 662838 813483 838134 994257 1024386 1221858 1257201 1536579 1626966 1832787 1878041 1988514 2514402 2982771 3073158 3665574 3756082 4609737 5634123 5965542 8948313 9219474 11268246 13829211 16902369 17896626 27658422 33804738 50707107 101414214 152121321 304242642