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3490800967 = 4147238543
BaseRepresentation
bin1101000000010001…
…0110010101000111
3100000021120001200201
43100010112111013
524122121112332
61334215551331
7152335214203
oct32004262507
910007501621
103490800967
111531514485
1281508b547
13438298504
14251885b03
151566e15e7
hexd0116547

3490800967 has 12 divisors (see below), whose sum is σ = 3653739936. Its totient is φ = 3333112160.

The previous prime is 3490800959. The next prime is 3490800997. The reversal of 3490800967 is 7690080943.

It is not a de Polignac number, because 3490800967 - 23 = 3490800959 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 (3490800917) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 71298 + ... + 109840.

It is an arithmetic number, because the mean of its divisors is an integer number (304478328).

Almost surely, 23490800967 is an apocalyptic number.

3490800967 is a deficient number, since it is larger than the sum of its proper divisors (162938969).

3490800967 is an equidigital number, since it uses as much as digits as its factorization.

3490800967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38678 (or 38631 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 3490800967 is about 59083.0006600883. Note that the first 3 decimals coincide. The cubic root of 3490800967 is about 1516.9631435278.

The spelling of 3490800967 in words is "three billion, four hundred ninety million, eight hundred thousand, nine hundred sixty-seven".

Divisors: 1 41 47 1927 2209 38543 90569 1580263 1811521 74272361 85141487 3490800967