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243344330432 = 2672961930259
BaseRepresentation
bin1110001010100001110…
…0111100111011000000
3212021010002021210212222
43202220130330323000
512441332122033212
6303442453310212
723403204452210
oct3425034747300
9767102253788
10243344330432
1194224592195
123b1b3635368
1319c41205688
14bac68c8240
1564e3868c72
hex38a873cec0

243344330432 has 112 divisors (see below), whose sum is σ = 571841376000. Its totient is φ = 100528210944.

The previous prime is 243344330381. The next prime is 243344330447. The reversal of 243344330432 is 234033443342.

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

It is a junction number, because it is equal to n+sod(n) for n = 243344330392 and 243344330401.

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, 8026919 + ... + 8057177.

Almost surely, 2243344330432 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 243344330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285920688000).

243344330432 is an abundant number, since it is smaller than the sum of its proper divisors (328497045568).

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

243344330432 is a wasteful number, since it uses less digits than its factorization.

243344330432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30926 (or 30916 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 35.

Adding to 243344330432 its reverse (234033443342), we get a palindrome (477377773774).

The spelling of 243344330432 in words is "two hundred forty-three billion, three hundred forty-four million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 619 812 928 1238 1624 1856 2476 3248 4333 4952 6496 8666 9904 12992 17332 17951 19808 30259 34664 35902 39616 60518 69328 71804 121036 125657 138656 143608 211813 242072 251314 277312 287216 423626 484144 502628 574432 847252 877511 968288 1005256 1148864 1694504 1755022 1936576 2010512 3389008 3510044 4021024 6142577 6778016 7020088 8042048 12285154 13556032 14040176 18730321 24570308 28080352 37460642 49140616 56160704 74921284 98281232 131112247 149842568 196562464 262224494 299685136 393124928 524448988 543179309 599370272 1048897976 1086358618 1198740544 2097795952 2172717236 3802255163 4195591904 4345434472 7604510326 8391183808 8690868944 15209020652 17381737888 30418041304 34763475776 60836082608 121672165216 243344330432