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3430000343 = 7311909091
BaseRepresentation
bin1100110001110001…
…1010011011010111
322212001011001220202
43030130122123113
524011040002333
61324204451115
7150666344000
oct31434323327
98761131822
103430000343
111500167030
127b8849a9b
134287cb003
1424777a1a7
151511d15e8
hexcc71a6d7

3430000343 has 16 divisors (see below), whose sum is σ = 4363641600. Its totient is φ = 2672724600.

The previous prime is 3430000339. The next prime is 3430000493.

It is a happy number.

3430000343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3430000343 - 22 = 3430000339 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 (3430000313) 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, 450773 + ... + 458318.

It is an arithmetic number, because the mean of its divisors is an integer number (272727600).

Almost surely, 23430000343 is an apocalyptic number.

3430000343 is a deficient number, since it is larger than the sum of its proper divisors (933641257).

3430000343 is an equidigital number, since it uses as much as digits as its factorization.

3430000343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909123 (or 909109 counting only the distinct ones).

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

The square root of 3430000343 is about 58566.2047856953. The cubic root of 3430000343 is about 1508.1043332925.

It can be divided in two parts, 3430000 and 343, that multiplied together give a square (1176490000 = 343002).

The spelling of 3430000343 in words is "three billion, four hundred thirty million, three hundred forty-three", and thus it is an aban number.

Divisors: 1 7 11 49 77 343 539 3773 909091 6363637 10000001 44545459 70000007 311818213 490000049 3430000343