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34311312300 = 22352293943829
BaseRepresentation
bin11111111101000111…
…010001001110101100
310021120012210021000110
4133331013101032230
51030232143443200
623432402300020
72323160225316
oct377507211654
9107505707013
1034311312300
1113607928851
126796957610
13330a645575
141936c787b6
15d5c394b50
hex7fd1d13ac

34311312300 has 72 divisors (see below), whose sum is σ = 102697333200. Its totient is φ = 8834174720.

The previous prime is 34311312281. The next prime is 34311312331. The reversal of 34311312300 is 321311343.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1963215 + ... + 1980614.

It is an arithmetic number, because the mean of its divisors is an integer number (1426351850).

Almost surely, 234311312300 is an apocalyptic number.

34311312300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34311312300 is an abundant number, since it is smaller than the sum of its proper divisors (68386020900).

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

34311312300 is a wasteful number, since it uses less digits than its factorization.

34311312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943875 (or 3943868 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 34311312300 its reverse (321311343), we get a palindrome (34632623643).

The spelling of 34311312300 in words is "thirty-four billion, three hundred eleven million, three hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 3943829 7887658 11831487 15775316 19719145 23662974 39438290 47325948 59157435 78876580 98595725 114371041 118314870 197191450 228742082 236629740 295787175 343113123 394382900 457484164 571855205 591574350 686226246 1143710410 1183148700 1372452492 1715565615 2287420820 2859276025 3431131230 5718552050 6862262460 8577828075 11437104100 17155656150 34311312300