Search a number
-
+
343231441005 = 3517343891217
BaseRepresentation
bin1001111111010100011…
…00000010100001101101
31012210221101111202221210
410333222030002201231
521110414222103010
6421402304545033
733540411053055
oct4775214024155
91183841452853
10343231441005
11122622222842
125662b622179
132649c50a82b
1412880960565
158ddcc04b20
hex4fea30286d

343231441005 has 128 divisors (see below), whose sum is σ = 604260518400. Its totient is φ = 166254477312.

The previous prime is 343231440997. The next prime is 343231441067. The reversal of 343231441005 is 500144132343.

It is not a de Polignac number, because 343231441005 - 23 = 343231440997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 282030157 + ... + 282031373.

It is an arithmetic number, because the mean of its divisors is an integer number (4720785300).

Almost surely, 2343231441005 is an apocalyptic number.

It is an amenable number.

343231441005 is a deficient number, since it is larger than the sum of its proper divisors (261029077395).

343231441005 is a wasteful number, since it uses less digits than its factorization.

343231441005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 343231441005 its reverse (500144132343), we get a palindrome (843375573348).

The spelling of 343231441005 in words is "three hundred forty-three billion, two hundred thirty-one million, four hundred forty-one thousand, five".

Divisors: 1 3 5 15 17 43 51 85 89 129 215 255 267 289 445 645 731 867 1217 1335 1445 1513 2193 3651 3655 3827 4335 4539 4913 6085 7565 10965 11481 12427 14739 18255 19135 20689 22695 24565 25721 37281 52331 57405 62067 62135 65059 73695 77163 103445 108313 128605 156993 186405 195177 211259 261655 310335 324939 325295 351713 385815 437257 541565 633777 784965 889627 975885 1055139 1056295 1106003 1311771 1624695 1758565 1841321 2186285 2668881 3168885 3318009 4448135 4657459 5275695 5523963 5530015 5979121 6558855 9206605 13344405 13972377 15123659 16590045 17937363 18802051 23287295 27619815 29895605 31302457 45370977 56406153 69861885 75618295 79176803 89686815 93907371 94010255 156512285 226854885 237530409 257102203 282030765 395884015 469536855 532141769 771306609 1187652045 1285511015 1346005651 1596425307 2660708845 3856533045 4038016953 6730028255 7982126535 20190084765 22882096067 68646288201 114410480335 343231441005