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344144035312 = 247112319163587
BaseRepresentation
bin1010000001000001001…
…01010011110111110000
31012220021222201100222221
411000200211103313300
521114301333112222
6422033025010424
733602132014630
oct5004045236760
91186258640887
10344144035312
11122a50377410
1256845183a14
13265b65c386c
1412929c386c0
158e42dbd0c7
hex5020953df0

344144035312 has 160 divisors (see below), whose sum is σ = 872008187904. Its totient is φ = 127578950400.

The previous prime is 344144035273. The next prime is 344144035327. The reversal of 344144035312 is 213530441443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5380383 + ... + 5443969.

Almost surely, 2344144035312 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 344144035312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436004093952).

344144035312 is an abundant number, since it is smaller than the sum of its proper divisors (527864152592).

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

344144035312 is a wasteful number, since it uses less digits than its factorization.

344144035312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63827 (or 63821 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 344144035312 its reverse (213530441443), we get a palindrome (557674476755).

The spelling of 344144035312 in words is "three hundred forty-four billion, one hundred forty-four million, thirty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 56 77 88 92 112 154 161 176 184 191 253 308 322 368 382 506 616 644 764 1012 1232 1288 1337 1528 1771 2024 2101 2576 2674 3056 3542 4048 4202 4393 5348 7084 8404 8786 10696 14168 14707 16808 17572 21392 28336 29414 30751 33616 35144 48323 58828 61502 63587 70288 96646 117656 123004 127174 193292 235312 246008 254348 338261 386584 445109 492016 508696 676522 699457 773168 890218 1017392 1353044 1398914 1462501 1780436 2706088 2797828 2925002 3560872 4896199 5412176 5595656 5850004 7121744 9792398 10237507 11191312 11700008 12145117 16087511 19584796 20475014 23400016 24290234 32175022 39169592 40950028 48580468 64350044 78339184 81900056 85015819 97160936 112612577 128700088 133596287 163800112 170031638 194321872 225225154 257400176 267192574 279337691 340063276 450450308 534385148 558675382 680126552 900900616 935174009 1068770296 1117350764 1360253104 1801801232 1870348018 1955363837 2137540592 2234701528 3072714601 3740696036 3910727674 4469403056 6145429202 7481392072 7821455348 12290858404 14962784144 15642910696 21509002207 24581716808 31285821392 43018004414 49163433616 86036008828 172072017656 344144035312