Search a number
-
+
3417103937 = 131801145949
BaseRepresentation
bin1100101110101100…
…1101111001000001
322211010212212101002
43023223031321001
523444234311222
61323024221345
7150451622102
oct31353157101
98733785332
103417103937
1114a3958845
127b446a855
13425c33cc0
14245b803a9
1514eed5392
hexcbacde41

3417103937 has 8 divisors (see below), whose sum is σ = 3682026600. Its totient is φ = 3152476800.

The previous prime is 3417103931. The next prime is 3417103961. The reversal of 3417103937 is 7393017143.

It is a Cunningham number, because it is equal to 584562+1.

It can be written as a sum of positive squares in 4 ways, for example, as 443692096 + 2973411841 = 21064^2 + 54529^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3417103937 - 26 = 3417103873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3417103937.

It is not an unprimeable number, because it can be changed into a prime (3417103931) 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 7 ways as a sum of consecutive naturals, for example, 49562 + ... + 96387.

It is an arithmetic number, because the mean of its divisors is an integer number (460253325).

Almost surely, 23417103937 is an apocalyptic number.

It is an amenable number.

3417103937 is a deficient number, since it is larger than the sum of its proper divisors (264922663).

3417103937 is a wasteful number, since it uses less digits than its factorization.

3417103937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147763.

The product of its (nonzero) digits is 47628, while the sum is 38.

The square root of 3417103937 is about 58456.0000085534. Note that the first 5 decimals coincide. The cubic root of 3417103937 is about 1506.2118599825.

The spelling of 3417103937 in words is "three billion, four hundred seventeen million, one hundred three thousand, nine hundred thirty-seven".

Divisors: 1 13 1801 23413 145949 1897337 262854149 3417103937