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3430476133 = 7276191997
BaseRepresentation
bin1100110001111000…
…1110100101100101
322212002001020120121
43030132032211211
524011200214013
61324223001541
7151003365100
oct31436164545
98762036517
103430476133
111500461547
127b8a392b1
13428936746
14247861737
1515127758d
hexcc78e965

3430476133 has 12 divisors (see below), whose sum is σ = 3995841132. Its totient is φ = 2936512320.

The previous prime is 3430476113. The next prime is 3430476139. The reversal of 3430476133 is 3316740343.

It can be written as a sum of positive squares in 2 ways, for example, as 707932449 + 2722543684 = 26607^2 + 52178^2 .

It is not a de Polignac number, because 3430476133 - 213 = 3430467941 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 (3430476139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8710 + ... + 83287.

It is an arithmetic number, because the mean of its divisors is an integer number (332986761).

Almost surely, 23430476133 is an apocalyptic number.

It is an amenable number.

3430476133 is a deficient number, since it is larger than the sum of its proper divisors (565364999).

3430476133 is an equidigital number, since it uses as much as digits as its factorization.

3430476133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92772 (or 92765 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 34.

The square root of 3430476133 is about 58570.2666290670. The cubic root of 3430476133 is about 1508.1740619333.

The spelling of 3430476133 in words is "three billion, four hundred thirty million, four hundred seventy-six thousand, one hundred thirty-three".

Divisors: 1 7 49 761 5327 37289 91997 643979 4507853 70009717 490068019 3430476133