Search a number
-
+
3400172689 is a prime number
BaseRepresentation
bin1100101010101010…
…1000010010010001
322202222000200001211
43022222220102101
523430421011224
61321221300121
7150154663624
oct31252502221
98688020054
103400172689
111495344081
127aa864641
13422586604
14243813dbb
1514d78d894
hexcaaa8491

3400172689 has 2 divisors, whose sum is σ = 3400172690. Its totient is φ = 3400172688.

The previous prime is 3400172687. The next prime is 3400172693. The reversal of 3400172689 is 9862710043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2236817025 + 1163355664 = 47295^2 + 34108^2 .

It is a cyclic number.

It is not a de Polignac number, because 3400172689 - 21 = 3400172687 is a prime.

It is a super-3 number, since 3×34001726893 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 3400172687, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3400172687) 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 as a sum of consecutive naturals, namely, 1700086344 + 1700086345.

It is an arithmetic number, because the mean of its divisors is an integer number (1700086345).

Almost surely, 23400172689 is an apocalyptic number.

It is an amenable number.

3400172689 is a deficient number, since it is larger than the sum of its proper divisors (1).

3400172689 is an equidigital number, since it uses as much as digits as its factorization.

3400172689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 3400172689 is about 58310.9997256092. Note that the first 3 decimals coincide. The cubic root of 3400172689 is about 1503.7200537658.

The spelling of 3400172689 in words is "three billion, four hundred million, one hundred seventy-two thousand, six hundred eighty-nine".