Search a number
-
+
241668336 = 24371361907
BaseRepresentation
bin11100110011110…
…01000011110000
3121211202000122010
432121321003300
5443331341321
635551442520
75663101260
oct1631710360
9554660563
10241668336
11114462aa8
1268b26440
133b0b6320
142414b7a0
151633a676
hexe6790f0

241668336 has 160 divisors (see below), whose sum is σ = 781838848. Its totient is φ = 62622720.

The previous prime is 241668269. The next prime is 241668341. The reversal of 241668336 is 633866142.

241668336 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 241668294 and 241668303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265995 + ... + 266901.

Almost surely, 2241668336 is an apocalyptic number.

241668336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241668336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390919424).

241668336 is an abundant number, since it is smaller than the sum of its proper divisors (540170512).

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

241668336 is a wasteful number, since it uses less digits than its factorization.

241668336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 993 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 241668336 is about 15545.6854464511. The cubic root of 241668336 is about 622.8831518071.

The spelling of 241668336 in words is "two hundred forty-one million, six hundred sixty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 61 78 84 91 104 112 122 156 168 182 183 208 244 273 312 336 364 366 427 488 546 624 728 732 793 854 907 976 1092 1281 1456 1464 1586 1708 1814 2184 2379 2562 2721 2928 3172 3416 3628 4368 4758 5124 5442 5551 6344 6349 6832 7256 9516 10248 10884 11102 11791 12688 12698 14512 16653 19032 19047 20496 21768 22204 23582 25396 33306 35373 38064 38094 43536 44408 47164 50792 55327 66612 70746 76188 82537 88816 94328 101584 110654 133224 141492 152376 165074 165981 188656 221308 247611 266448 282984 304752 330148 331962 387289 442616 495222 565968 660296 663924 719251 774578 885232 990444 1161867 1320592 1327848 1438502 1549156 1980888 2157753 2323734 2655696 2877004 3098312 3961776 4315506 4647468 5034757 5754008 6196624 8631012 9294936 10069514 11508016 15104271 17262024 18589872 20139028 30208542 34524048 40278056 60417084 80556112 120834168 241668336