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34111404200 = 2352533218057
BaseRepresentation
bin11111110001001100…
…101011100010101000
310021001021121212122202
4133301030223202220
51024330004413300
623400501435332
72315212103006
oct376114534250
9107037555582
1034111404200
1113514aa8945
12673ba0bb48
1332a80c1053
1419184bba76
15d49a57ad5
hex7f132b8a8

34111404200 has 48 divisors (see below), whose sum is σ = 80805436380. Its totient is φ = 13387112960.

The previous prime is 34111404113. The next prime is 34111404221. The reversal of 34111404200 is 240411143.

It can be written as a sum of positive squares in 6 ways, for example, as 7749985156 + 26361419044 = 88034^2 + 162362^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1598429 + ... + 1619628.

Almost surely, 234111404200 is an apocalyptic number.

It is an amenable number.

34111404200 is an abundant number, since it is smaller than the sum of its proper divisors (46694032180).

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

34111404200 is a wasteful number, since it uses less digits than its factorization.

34111404200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218126 (or 3218117 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34111404200 its reverse (240411143), we get a palindrome (34351815343).

The spelling of 34111404200 in words is "thirty-four billion, one hundred eleven million, four hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 3218057 6436114 12872228 16090285 25744456 32180570 64361140 80451425 128722280 160902850 170557021 321805700 341114042 643611400 682228084 852785105 1364456168 1705570210 3411140420 4263925525 6822280840 8527851050 17055702100 34111404200