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3417120084 = 223740680001
BaseRepresentation
bin1100101110101101…
…0001110101010100
322211010220200112010
43023223101311110
523444240320314
61323024424220
7150452020140
oct31353216524
98733820463
103417120084
1114a3969994
127b4478070
13425c3b461
14245b86220
1514eeda059
hexcbad1d54

3417120084 has 24 divisors (see below), whose sum is σ = 9112320448. Its totient is φ = 976320000.

The previous prime is 3417120067. The next prime is 3417120121. The reversal of 3417120084 is 4800217143.

It is a congruent number.

It is an unprimeable number.

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, 20339917 + ... + 20340084.

Almost surely, 23417120084 is an apocalyptic number.

It is an amenable number.

3417120084 is an abundant number, since it is smaller than the sum of its proper divisors (5695200364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3417120084 is a wasteful number, since it uses less digits than its factorization.

3417120084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40680015 (or 40680013 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3417120084 is about 58456.1381208167. The cubic root of 3417120084 is about 1506.2142324364.

The spelling of 3417120084 in words is "three billion, four hundred seventeen million, one hundred twenty thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 40680001 81360002 122040003 162720004 244080006 284760007 488160012 569520014 854280021 1139040028 1708560042 3417120084