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34404300341000 = 2353172023782373
BaseRepresentation
bin1111101001010011000000…
…00110011011111100001000
311111211000111211210210020222
413310221200012123330020
514002140001341403000
6201101041204405212
710150425430526552
oct764514006337410
9144730454723228
1034404300341000
11aa64866695947
123a3794a6a6808
131627408784795
1486d269a644d2
153e9e04e7ca85
hex1f4a6019bf08

34404300341000 has 64 divisors (see below), whose sum is σ = 85241713592880. Its totient is φ = 12952207180800.

The previous prime is 34404300340981. The next prime is 34404300341011. The reversal of 34404300341000 is 14300340443.

It can be written as a sum of positive squares in 8 ways, for example, as 6014393285476 + 28389907055524 = 2452426^2 + 5328218^2 .

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, 1011874187 + ... + 1011908186.

Almost surely, 234404300341000 is an apocalyptic number.

It is an amenable number.

34404300341000 is an abundant number, since it is smaller than the sum of its proper divisors (50837413251880).

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

34404300341000 is a wasteful number, since it uses less digits than its factorization.

34404300341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023782411 (or 2023782397 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 34404300341000 its reverse (14300340443), we get a palindrome (34418600681443).

The spelling of 34404300341000 in words is "thirty-four trillion, four hundred four billion, three hundred million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 2023782373 4047564746 8095129492 10118911865 16190258984 20237823730 34404300341 40475647460 50594559325 68808600682 80951294920 101189118650 137617201364 172021501705 202378237300 252972796625 275234402728 344043003410 404756474600 505945593250 688086006820 860107508525 1011891186500 1376172013640 1720215017050 2023782373000 3440430034100 4300537542625 6880860068200 8601075085250 17202150170500 34404300341000