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242003424 = 25313238431
BaseRepresentation
bin11100110110010…
…10110111100000
3121212101001021210
432123022313200
5443423102144
640002550120
75665665225
oct1633126740
9555331253
10242003424
11114671833
1269068340
133b1a29c0
14241d794c
15163a4ab9
hexe6cade0

242003424 has 96 divisors (see below), whose sum is σ = 713954304. Its totient is φ = 71216640.

The previous prime is 242003417. The next prime is 242003431. The reversal of 242003424 is 424300242.

It is an interprime number because it is at equal distance from previous prime (242003417) and next prime (242003431).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 242003424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24489 + ... + 32919.

It is an arithmetic number, because the mean of its divisors is an integer number (7437024).

Almost surely, 2242003424 is an apocalyptic number.

242003424 is a gapful number since it is divisible by the number (24) 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 242003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356977152).

242003424 is an abundant number, since it is smaller than the sum of its proper divisors (471950880).

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

242003424 is a wasteful number, since it uses less digits than its factorization.

242003424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8480 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 242003424 is about 15556.4592372429. The cubic root of 242003424 is about 623.1709074412.

Adding to 242003424 its reverse (424300242), we get a palindrome (666303666).

The spelling of 242003424 in words is "two hundred forty-two million, three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 552 598 624 736 897 1104 1196 1248 1794 2208 2392 3588 4784 7176 8431 9568 14352 16862 25293 28704 33724 50586 67448 101172 109603 134896 193913 202344 219206 269792 328809 387826 404688 438412 581739 657618 775652 809376 876824 1163478 1315236 1551304 1753648 2326956 2520869 2630472 3102608 3507296 4653912 5041738 5260944 6205216 7562607 9307824 10083476 10521888 15125214 18615648 20166952 30250428 40333904 60500856 80667808 121001712 242003424