Search a number
-
+
381007242 = 2327211173227
BaseRepresentation
bin10110101101011…
…011010110001010
3222112221011200100
4112231123112022
51240014212432
6101450150230
712304336200
oct2655332612
9875834610
10381007242
11186083420
12a7722376
1360c21795
143885d070
15236b107c
hex16b5b58a

381007242 has 144 divisors (see below), whose sum is σ = 1058290272. Its totient is φ = 97957440.

The previous prime is 381007189. The next prime is 381007243. The reversal of 381007242 is 242700183.

It is not an unprimeable number, because it can be changed into a prime (381007243) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1678333 + ... + 1678559.

It is an arithmetic number, because the mean of its divisors is an integer number (7349238).

Almost surely, 2381007242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381007242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529145136).

381007242 is an abundant number, since it is smaller than the sum of its proper divisors (677283030).

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

381007242 is a wasteful number, since it uses less digits than its factorization.

381007242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 381007242 is about 19519.4068045112. The cubic root of 381007242 is about 724.9550456470.

The spelling of 381007242 in words is "three hundred eighty-one million, seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 173 198 227 231 294 346 441 454 462 519 539 681 693 882 1038 1078 1211 1362 1386 1557 1589 1617 1903 2043 2422 2497 3114 3178 3234 3633 3806 4086 4767 4851 4994 5709 7266 7491 8477 9534 9702 10899 11123 11418 13321 14301 14982 16954 17127 17479 21798 22246 22473 25431 26642 28602 33369 34254 34958 39271 39963 44946 50862 52437 66738 76293 78542 79926 93247 100107 104874 117813 119889 122353 152586 157311 186494 200214 235626 239778 244706 274897 279741 314622 353439 367059 431981 549794 559482 706878 734118 824691 839223 863962 1101177 1295943 1649382 1678446 1924279 2202354 2474073 2591886 3023867 3848558 3887829 4948146 5772837 6047734 7775658 9071601 11545674 17318511 18143202 21167069 27214803 34637022 42334138 54429606 63501207 127002414 190503621 381007242