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34340320100 = 2252343403201
BaseRepresentation
bin11111111110110101…
…111011001101100100
310021122020101000020102
4133332311323031210
51030312110220400
623435320123232
72323661622212
oct377665731544
9107566330212
1034340320100
1113622240839
1267a4606518
133313660a48
14193aa69cb2
15d5ebc49d5
hex7fed7b364

34340320100 has 18 divisors (see below), whose sum is σ = 74518494834. Its totient is φ = 13736128000.

The previous prime is 34340320081. The next prime is 34340320109. The reversal of 34340320100 is 102304343.

It can be written as a sum of positive squares in 3 ways, for example, as 108659776 + 34231660324 = 10424^2 + 185018^2 .

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

It is not an unprimeable number, because it can be changed into a prime (34340320109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 171701501 + ... + 171701700.

Almost surely, 234340320100 is an apocalyptic number.

It is an amenable number.

34340320100 is an abundant number, since it is smaller than the sum of its proper divisors (40178174734).

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

34340320100 is a wasteful number, since it uses less digits than its factorization.

34340320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343403215 (or 343403208 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 34340320100 its reverse (102304343), we get a palindrome (34442624443).

The spelling of 34340320100 in words is "thirty-four billion, three hundred forty million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 343403201 686806402 1373612804 1717016005 3434032010 6868064020 8585080025 17170160050 34340320100