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34300000343 = 73175882353
BaseRepresentation
bin11111111100011100…
…000111100001010111
310021112102111112221002
4133330130013201113
51030221300002333
623431320013515
72322662123000
oct377434074127
9107472445832
1034300000343
1113601501a24
12679300129b
1333081b47bb
1419355721a7
15d5b3ad0e8
hex7fc707857

34300000343 has 16 divisors (see below), whose sum is σ = 42352948800. Its totient is φ = 27670583808.

The previous prime is 34300000331. The next prime is 34300000379.

It is a happy number.

34300000343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34300000343 - 28 = 34300000087 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34300000393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2935346 + ... + 2947007.

It is an arithmetic number, because the mean of its divisors is an integer number (2647059300).

Almost surely, 234300000343 is an apocalyptic number.

34300000343 is a deficient number, since it is larger than the sum of its proper divisors (8052948457).

34300000343 is an equidigital number, since it uses as much as digits as its factorization.

34300000343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882391 (or 5882377 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

It can be divided in two parts, 34300000 and 343, that added together give a palindrome (34300343).

The spelling of 34300000343 in words is "thirty-four billion, three hundred million, three hundred forty-three", and thus it is an aban number.

Divisors: 1 7 17 49 119 343 833 5831 5882353 41176471 100000001 288235297 700000007 2017647079 4900000049 34300000343