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3464334643 = 73111019091
BaseRepresentation
bin1100111001111101…
…1000110100110011
322221102202102201111
43032133120310303
524043332202033
61331432414151
7151564234000
oct31637306463
98842672644
103464334643
111518587990
12808247357
1343295ca73
1424c1568a7
151542147cd
hexce7d8d33

3464334643 has 32 divisors (see below), whose sum is σ = 4451443200. Its totient is φ = 2672460000.

The previous prime is 3464334641. The next prime is 3464334649.

3464334643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3464334643 - 21 = 3464334641 is a prime.

It is a super-2 number, since 2×34643346432 = 24003229037379874898, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3464334596 and 3464334605.

It is not an unprimeable number, because it can be changed into a prime (3464334641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376528 + ... + 385618.

It is an arithmetic number, because the mean of its divisors is an integer number (139107600).

Almost surely, 23464334643 is an apocalyptic number.

3464334643 is a deficient number, since it is larger than the sum of its proper divisors (987108557).

3464334643 is a wasteful number, since it uses less digits than its factorization.

3464334643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9224 (or 9210 counting only the distinct ones).

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

The square root of 3464334643 is about 58858.5987176046. The cubic root of 3464334643 is about 1513.1196767602.

The spelling of 3464334643 in words is "three billion, four hundred sixty-four million, three hundred thirty-four thousand, six hundred forty-three".

Divisors: 1 7 11 49 77 101 343 539 707 1111 3773 4949 7777 9091 34643 54439 63637 100001 381073 445459 700007 918191 3118213 4900049 6427337 10100101 34300343 44991359 70700707 314939513 494904949 3464334643