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242103336 = 233231074099
BaseRepresentation
bin11100110111000…
…11010000101000
3121212120010100020
432123203100220
5443434301321
640005040440
75666562426
oct1633432050
9555503306
10242103336
1111472a902
12690b6120
133b209317
1424222116
15163c44c6
hexe6e3428

242103336 has 64 divisors (see below), whose sum is σ = 637632000. Its totient is φ = 76452288.

The previous prime is 242103317. The next prime is 242103343. The reversal of 242103336 is 633301242.

It is a super-2 number, since 2×2421033362 = 117228050604657792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57015 + ... + 61113.

It is an arithmetic number, because the mean of its divisors is an integer number (9963000).

Almost surely, 2242103336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242103336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318816000).

242103336 is an abundant number, since it is smaller than the sum of its proper divisors (395528664).

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

242103336 is a wasteful number, since it uses less digits than its factorization.

242103336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 242103336 is about 15559.6701764530. The cubic root of 242103336 is about 623.2566551057.

Adding to 242103336 its reverse (633301242), we get a palindrome (875404578).

The spelling of 242103336 in words is "two hundred forty-two million, one hundred three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 107 138 184 214 276 321 428 552 642 856 1284 2461 2568 4099 4922 7383 8198 9844 12297 14766 16396 19688 24594 29532 32792 49188 59064 94277 98376 188554 282831 377108 438593 565662 754216 877186 1131324 1315779 1754372 2262648 2631558 3508744 5263116 10087639 10526232 20175278 30262917 40350556 60525834 80701112 121051668 242103336