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340443401424 = 243783107114089
BaseRepresentation
bin1001111010001000000…
…00100000110011010000
31012112202002022200122120
410331010000200303100
521034212002321144
6420221511334240
733411335110560
oct4750400406320
91175662280576
10340443401424
111214214743a5
1255b91981380
1326146a0a579
1412698570da0
158cc807de19
hex4f44020cd0

340443401424 has 160 divisors (see below), whose sum is σ = 1026744284160. Its totient is φ = 95198678016.

The previous prime is 340443401413. The next prime is 340443401449. The reversal of 340443401424 is 424104344043.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2926972 + ... + 3041060.

It is an arithmetic number, because the mean of its divisors is an integer number (6417151776).

Almost surely, 2340443401424 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 340443401424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513372142080).

340443401424 is an abundant number, since it is smaller than the sum of its proper divisors (686300882736).

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

340443401424 is a wasteful number, since it uses less digits than its factorization.

340443401424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114297 (or 114291 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 340443401424 its reverse (424104344043), we get a palindrome (764547745467).

The spelling of 340443401424 in words is "three hundred forty billion, four hundred forty-three million, four hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 107 112 166 168 214 249 321 332 336 428 498 581 642 664 749 856 996 1162 1284 1328 1498 1712 1743 1992 2247 2324 2568 2996 3486 3984 4494 4648 5136 5992 6972 8881 8988 9296 11984 13944 17762 17976 26643 27888 35524 35952 53286 62167 71048 106572 114089 124334 142096 186501 213144 228178 248668 342267 373002 426288 456356 497336 684534 746004 798623 912712 994672 1369068 1492008 1597246 1825424 2395869 2738136 2984016 3194492 4791738 5476272 6388984 9469387 9583476 12207523 12777968 18938774 19166952 24415046 28408161 36622569 37877548 38333904 48830092 56816322 66285709 73245138 75755096 85452661 97660184 113632644 132571418 146490276 151510192 170905322 195320368 198857127 227265288 256357983 265142836 292980552 341810644 397714254 454530576 512715966 530285672 585961104 683621288 795428508 1013224409 1025431932 1060571344 1367242576 1590857016 2026448818 2050863864 3039673227 3181714032 4052897636 4101727728 6079346454 7092570863 8105795272 12158692908 14185141726 16211590544 21277712589 24317385816 28370283452 42555425178 48634771632 56740566904 85110850356 113481133808 170221700712 340443401424