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34231341300 = 22352138777267
BaseRepresentation
bin11111111000010110…
…001101000011110100
310021100122022022102120
4133320112031003310
51030101210410200
623420424235540
72321166412602
oct377026150364
9107318268376
1034231341300
1113576777412
12677400bbb0
1332c6bc5450
14192a3bc872
15d553499a0
hex7f858d0f4

34231341300 has 72 divisors (see below), whose sum is σ = 106661360736. Its totient is φ = 8426175360.

The previous prime is 34231341289. The next prime is 34231341307. The reversal of 34231341300 is 314313243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34231341307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4384734 + ... + 4392533.

It is an arithmetic number, because the mean of its divisors is an integer number (1481407788).

Almost surely, 234231341300 is an apocalyptic number.

34231341300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34231341300 is an abundant number, since it is smaller than the sum of its proper divisors (72430019436).

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

34231341300 is a wasteful number, since it uses less digits than its factorization.

34231341300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8777297 (or 8777290 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34231341300 its reverse (314313243), we get a palindrome (34545654543).

The spelling of 34231341300 in words is "thirty-four billion, two hundred thirty-one million, three hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 8777267 17554534 26331801 35109068 43886335 52663602 87772670 105327204 114104471 131659005 175545340 219431675 228208942 263318010 342313413 438863350 456417884 526636020 570522355 658295025 684626826 877726700 1141044710 1316590050 1369253652 1711567065 2282089420 2633180100 2852611775 3423134130 5705223550 6846268260 8557835325 11410447100 17115670650 34231341300