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3430000312301 = 172696531148629
BaseRepresentation
bin110001111010011011111…
…100110011111111101101
3110010220102121201102012202
4301322123330303333231
5422144120034443201
611143415334311245
7502544414414333
oct61723374637755
913126377642182
103430000312301
111102722835802
124749101b8525
131bb5a8612514
14bc027585b53
155e34ecc8c6b
hex31e9bf33fed

3430000312301 has 16 divisors (see below), whose sum is σ = 3650851537200. Its totient is φ = 3211306595328.

The previous prime is 3430000312247. The next prime is 3430000312481. The reversal of 3430000312301 is 1032130000343.

3430000312301 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 624874440100 + 2805125872201 = 790490^2 + 1674851^2 .

It is a cyclic number.

It is not a de Polignac number, because 3430000312301 - 210 = 3430000311277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430000312601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2411855 + ... + 3560483.

It is an arithmetic number, because the mean of its divisors is an integer number (228178221075).

Almost surely, 23430000312301 is an apocalyptic number.

It is an amenable number.

3430000312301 is a deficient number, since it is larger than the sum of its proper divisors (220851224899).

3430000312301 is a wasteful number, since it uses less digits than its factorization.

3430000312301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149568.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 3430000312301 its reverse (1032130000343), we get a palindrome (4462130312644).

The spelling of 3430000312301 in words is "three trillion, four hundred thirty billion, three hundred twelve thousand, three hundred one".

Divisors: 1 17 269 653 4573 11101 175657 1148629 2986169 19526693 308981201 750054737 5252680417 12750930529 201764724253 3430000312301