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34346064343 = 1910166127077
BaseRepresentation
bin11111111111001011…
…110101100111010111
310021122122011211212011
4133333023311213113
51030320043024333
623440043205051
72324061505243
oct377713654727
9107578154764
1034346064343
1113625504548
1267a6516787
1333148c24c6
14193b723423
15d6045b9cd
hex7ff2f59d7

34346064343 has 16 divisors (see below), whose sum is σ = 36568297440. Its totient is φ = 32166288000.

The previous prime is 34346064341. The next prime is 34346064373.

34346064343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34346064343 - 21 = 34346064341 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34346064296 and 34346064305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34346064341) 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, 1254921 + ... + 1281997.

It is an arithmetic number, because the mean of its divisors is an integer number (2285518590).

Almost surely, 234346064343 is an apocalyptic number.

34346064343 is a deficient number, since it is larger than the sum of its proper divisors (2222233097).

34346064343 is a wasteful number, since it uses less digits than its factorization.

34346064343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27858.

The product of its (nonzero) digits is 746496, while the sum is 40.

The spelling of 34346064343 in words is "thirty-four billion, three hundred forty-six million, sixty-four thousand, three hundred forty-three".

Divisors: 1 19 101 661 1919 12559 27077 66761 514463 1268459 2734777 17897897 51960763 340060043 1807687597 34346064343