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434122001340 = 223597112136143
BaseRepresentation
bin1100101000100111011…
…00000000101110111100
31112111112201010122012020
412110103230000232330
524103040213020330
6531233301040140
743235643061326
oct6242354005674
91474481118166
10434122001340
11158123609005
12701766b6050
1331c2599c991
1417023c3c616
15b45c346210
hex6513b00bbc

434122001340 has 96 divisors (see below), whose sum is σ = 1217994817536. Its totient is φ = 115532494080.

The previous prime is 434122001309. The next prime is 434122001441. The reversal of 434122001340 is 43100221434.

It is a self number, because there is not a number n which added to its sum of digits gives 434122001340.

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, 70666309 + ... + 70672451.

It is an arithmetic number, because the mean of its divisors is an integer number (12687446016).

Almost surely, 2434122001340 is an apocalyptic number.

It is an amenable number.

434122001340 is an abundant number, since it is smaller than the sum of its proper divisors (783872816196).

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

434122001340 is a wasteful number, since it uses less digits than its factorization.

434122001340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8339 (or 8337 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 434122001340 its reverse (43100221434), we get a palindrome (477222222774).

The spelling of 434122001340 in words is "four hundred thirty-four billion, one hundred twenty-two million, one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 971 1213 1942 2426 2913 3639 3884 4852 4855 5826 6065 6143 7278 9710 11652 12130 12286 14556 14565 18195 18429 19420 24260 24572 29130 30715 36390 36858 58260 61430 72780 73716 92145 122860 184290 368580 1177823 2355646 3533469 4711292 5889115 5964853 7066938 7451459 11778230 11929706 14133876 14902918 17667345 17894559 22354377 23556460 23859412 29805836 29824265 35334690 35789118 37257295 44708754 59648530 70669380 71578236 74514590 89417508 89472795 111771885 119297060 149029180 178945590 223543770 357891180 447087540 7235366689 14470733378 21706100067 28941466756 36176833445 43412200134 72353666890 86824400268 108530500335 144707333780 217061000670 434122001340