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3430500992 = 27171576517
BaseRepresentation
bin1100110001111001…
…0100101010000000
322212002002111200022
43030132110222000
524011202012432
61324223313012
7151003530422
oct31436245200
98762074608
103430500992
111500479196
127b8a4b768
13428944b59
1424786a812
1515127eb12
hexcc794a80

3430500992 has 32 divisors (see below), whose sum is σ = 7236217620. Its totient is φ = 1614352384.

The previous prime is 3430500959. The next prime is 3430501003. The reversal of 3430500992 is 2990050343.

It can be written as a sum of positive squares in 2 ways, for example, as 3085135936 + 345365056 = 55544^2 + 18584^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×34305009922 = 23536674112225968128, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 786083 + ... + 790434.

Almost surely, 23430500992 is an apocalyptic number.

3430500992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3430500992 is an abundant number, since it is smaller than the sum of its proper divisors (3805716628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3430500992 is a wasteful number, since it uses less digits than its factorization.

3430500992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576548 (or 1576536 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 3430500992 is about 58570.4788438681. The cubic root of 3430500992 is about 1508.1777049269.

The spelling of 3430500992 in words is "three billion, four hundred thirty million, five hundred thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 1576517 3153034 6306068 12612136 25224272 26800789 50448544 53601578 100897088 107203156 201794176 214406312 428812624 857625248 1715250496 3430500992