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243240033344 = 2671156387671
BaseRepresentation
bin1110001010001000111…
…1000101110001000000
3212020211211000222011212
43202202033011301000
512441123422031334
6303424250025252
723400500112110
oct3424217056100
9766754028155
10243240033344
1194180726250
123b184718228
1319c25719019
14bab6ad9040
1564d9615ece
hex38a23c5c40

243240033344 has 112 divisors (see below), whose sum is σ = 602857921536. Its totient is φ = 94599436800.

The previous prime is 243240033343. The next prime is 243240033347. The reversal of 243240033344 is 443330042342.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 243240033344.

It is not an unprimeable number, because it can be changed into a prime (243240033343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2730629 + ... + 2818299.

Almost surely, 2243240033344 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 243240033344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301428960768).

243240033344 is an abundant number, since it is smaller than the sum of its proper divisors (359617888192).

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

243240033344 is a wasteful number, since it uses less digits than its factorization.

243240033344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88264 (or 88254 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 243240033344 its reverse (443330042342), we get a palindrome (686570075686).

The spelling of 243240033344 in words is "two hundred forty-three billion, two hundred forty million, thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 563 616 704 1126 1232 2252 2464 3941 4504 4928 6193 7882 9008 12386 15764 18016 24772 31528 36032 43351 49544 63056 86702 87671 99088 126112 173404 175342 198176 252224 346808 350684 396352 613697 693616 701368 964381 1227394 1387232 1402736 1928762 2454788 2774464 2805472 3857524 4909576 5610944 6750667 7715048 9819152 13501334 15430096 19638304 27002668 30860192 39276608 49358773 54005336 61720384 98717546 108010672 197435092 216021344 345511411 394870184 432042688 542946503 691022822 789740368 1085893006 1382045644 1579480736 2171786012 2764091288 3158961472 3800625521 4343572024 5528182576 7601251042 8687144048 11056365152 15202502084 17374288096 22112730304 30405004168 34748576192 60810008336 121620016672 243240033344