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34340200420100 = 2252808494247449
BaseRepresentation
bin1111100111011011100110…
…11100101001001100000100
311111120220001121111102100112
413303231303130221030010
514000112212301420400
6201011400440532152
710142666115302651
oct763556334511404
9144526047442315
1034340200420100
11aa3a662987603
123a2743b781058
1316213617bc3c3
1486a10888ac28
153e8402818835
hex1f3b73729304

34340200420100 has 36 divisors (see below), whose sum is σ = 74519174152500. Its totient is φ = 13735907036160.

The previous prime is 34340200420061. The next prime is 34340200420103. The reversal of 34340200420100 is 102400204343.

It can be written as a sum of positive squares in 6 ways, for example, as 873697739524 + 33466502680576 = 934718^2 + 5785024^2 .

It is not an unprimeable number, because it can be changed into a prime (34340200420103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5961176 + ... + 10208624.

Almost surely, 234340200420100 is an apocalyptic number.

It is an amenable number.

34340200420100 is an abundant number, since it is smaller than the sum of its proper divisors (40178973732400).

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

34340200420100 is a wasteful number, since it uses less digits than its factorization.

34340200420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328312 (or 4328305 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 34340200420100 its reverse (102400204343), we get a palindrome (34442600624443).

The spelling of 34340200420100 in words is "thirty-four trillion, three hundred forty billion, two hundred million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 80849 161698 323396 404245 808490 1616980 2021225 4042450 4247449 8084900 8494898 16989796 21237245 42474490 84948980 106186225 212372450 424744900 343402004201 686804008402 1373608016804 1717010021005 3434020042010 6868040084020 8585050105025 17170100210050 34340200420100