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3400330043 = 1114912911607
BaseRepresentation
bin1100101010101100…
…1110101100111011
322202222022122220202
43022223032230323
523430441030133
61321224512415
7150156220445
oct31253165473
98688278822
103400330043
111495441320
127aa91b70b
13422610116
14243855495
1514d7c02e8
hexcaaceb3b

3400330043 has 16 divisors (see below), whose sum is σ = 3739564800. Its totient is φ = 3066175200.

The previous prime is 3400330027. The next prime is 3400330057.

It is a happy number.

3400330043 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3400330043 - 24 = 3400330027 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3400329997 and 3400330024.

It is not an unprimeable number, because it can be changed into a prime (3400330343) 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 15 ways as a sum of consecutive naturals, for example, 2115146 + ... + 2116752.

It is an arithmetic number, because the mean of its divisors is an integer number (233722800).

Almost surely, 23400330043 is an apocalyptic number.

3400330043 is a deficient number, since it is larger than the sum of its proper divisors (339234757).

3400330043 is a wasteful number, since it uses less digits than its factorization.

3400330043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058.

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

The square root of 3400330043 is about 58312.3489751528. The cubic root of 3400330043 is about 1503.7432499126.

It can be divided in two parts, 34003 and 30043, that added together give a palindrome (64046).

The spelling of 3400330043 in words is "three billion, four hundred million, three hundred thirty thousand, forty-three".

Divisors: 1 11 149 1291 1607 1639 14201 17677 192359 239443 2074637 2115949 2633873 22821007 309120913 3400330043