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4340920961 = 134163112907
BaseRepresentation
bin1000000101011110…
…10011001010000001
3102012112012122002102
410002233103022001
532342233432321
61554425000145
7212400135146
oct40257231201
912175178072
104340920961
111928378193
12a11923055
135424492b0
142d273a3cd
151a6168c0b
hex102bd3281

4340920961 has 16 divisors (see below), whose sum is σ = 4796819328. Its totient is φ = 3902774400.

The previous prime is 4340920949. The next prime is 4340920963. The reversal of 4340920961 is 1690290434.

It is a cyclic number.

It is not a de Polignac number, because 4340920961 - 26 = 4340920897 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4340920963) 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 15 ways as a sum of consecutive naturals, for example, 329870 + ... + 342776.

It is an arithmetic number, because the mean of its divisors is an integer number (299801208).

Almost surely, 24340920961 is an apocalyptic number.

4340920961 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4340920961 is a deficient number, since it is larger than the sum of its proper divisors (455898367).

4340920961 is a wasteful number, since it uses less digits than its factorization.

4340920961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13592.

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 4340920961 is about 65885.6658234551. The cubic root of 4340920961 is about 1631.2754217771.

The spelling of 4340920961 in words is "four billion, three hundred forty million, nine hundred twenty thousand, nine hundred sixty-one".

Divisors: 1 13 41 533 631 8203 12907 25871 167791 336323 529187 6879431 8144317 105876121 333916997 4340920961