Search a number
-
+
24200000344 = 231317232512371
BaseRepresentation
bin10110100010011011…
…101011001101011000
32022110112120101121001
4112202123223031120
5344030200002334
615041201554344
71514461415602
oct264233531530
968415511531
1024200000344
11a2992a6493
1248346459b4
132388883840
14125801c172
1596984a714
hex5a26eb358

24200000344 has 128 divisors (see below), whose sum is σ = 54227335680. Its totient is φ = 10010880000.

The previous prime is 24200000339. The next prime is 24200000347. The reversal of 24200000344 is 44300000242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24200000347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10205479 + ... + 10207849.

It is an arithmetic number, because the mean of its divisors is an integer number (423651060).

Almost surely, 224200000344 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 24200000344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27113667840).

24200000344 is an abundant number, since it is smaller than the sum of its proper divisors (30027335336).

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

24200000344 is a wasteful number, since it uses less digits than its factorization.

24200000344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 24200000344 its reverse (44300000242), we get a palindrome (68500000586).

The spelling of 24200000344 in words is "twenty-four billion, two hundred million, three hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 13 17 23 26 34 46 52 68 92 104 136 184 221 251 299 391 442 502 598 782 884 1004 1196 1564 1768 2008 2371 2392 3128 3263 4267 4742 5083 5773 6526 8534 9484 10166 11546 13052 17068 18968 20332 23092 26104 30823 34136 40307 40664 46184 54533 55471 61646 75049 80614 98141 109066 110942 123292 150098 161228 196282 218132 221884 246584 300196 322456 392564 436264 443768 523991 595121 600392 708929 785128 927061 1047982 1190242 1275833 1417858 1854122 2095964 2380484 2551666 2835716 3708244 4191928 4760968 5103332 5671432 7416488 7736573 10117057 10206664 12051793 13687783 15473146 20234114 24103586 27375566 30946292 40468228 48207172 54751132 61892584 80936456 96414344 109502264 131521741 177941179 232692311 263043482 355882358 465384622 526086964 711764716 930769244 1052173928 1423529432 1861538488 3025000043 6050000086 12100000172 24200000344