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3417220849 = 7411932
BaseRepresentation
bin1100101110101110…
…1010011011110001
322211011002210202011
43023223222123301
523444302031344
61323030522521
7150452620000
oct31353523361
98734083664
103417220849
1114a3a28669
127b4506441
13425c75293
14245bb0c37
15150009d34
hexcbaea6f1

3417220849 has 15 divisors (see below), whose sum is σ = 3989864843. Its totient is φ = 2926591248.

The previous prime is 3417220843. The next prime is 3417220871. The reversal of 3417220849 is 9480227143.

The square root of 3417220849 is 58457.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1755191025 + 1662029824 = 41895^2 + 40768^2 .

It is not a de Polignac number, because 3417220849 - 27 = 3417220721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3417220843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2863797 + ... + 2864989.

Almost surely, 23417220849 is an apocalyptic number.

3417220849 is the 58457-th square number.

3417220849 is the 29229-th centered octagonal number.

It is an amenable number.

3417220849 is a deficient number, since it is larger than the sum of its proper divisors (572643994).

3417220849 is an frugal number, since it uses more digits than its factorization.

3417220849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The cubic root of 3417220849 is about 1506.2290375141.

The spelling of 3417220849 in words is "three billion, four hundred seventeen million, two hundred twenty thousand, eight hundred forty-nine".

Divisors: 1 7 49 343 1193 2401 8351 58457 409199 1423249 2864393 9962743 69739201 488174407 3417220849