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3442298064 = 243734612131
BaseRepresentation
bin1100110100101101…
…0100110011010000
322212220021212012220
43031023110303100
524022212014224
61325324221040
7151206023262
oct31513246320
98786255186
103442298064
1115070a6537
1280099a780
1342b21567a
1424925bb32
15152310279
hexcd2d4cd0

3442298064 has 80 divisors (see below), whose sum is σ = 9038213184. Its totient is φ = 1128729600.

The previous prime is 3442298033. The next prime is 3442298087. The reversal of 3442298064 is 4608922443.

It is a super-2 number, since 2×34422980642 = 23698831922836296192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1614279 + ... + 1616409.

Almost surely, 23442298064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3442298064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519106592).

3442298064 is an abundant number, since it is smaller than the sum of its proper divisors (5595915120).

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

3442298064 is a wasteful number, since it uses less digits than its factorization.

3442298064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 3442298064 is about 58671.1007566758. The cubic root of 3442298064 is about 1509.9045396723.

The spelling of 3442298064 in words is "three billion, four hundred forty-two million, two hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 461 584 876 922 1168 1383 1752 1844 2131 2766 3504 3688 4262 5532 6393 7376 8524 11064 12786 17048 22128 25572 33653 34096 51144 67306 100959 102288 134612 155563 201918 269224 311126 403836 466689 538448 622252 807672 933378 982391 1244504 1615344 1866756 1964782 2489008 2947173 3733512 3929564 5894346 7467024 7859128 11788692 15718256 23577384 47154768 71714543 143429086 215143629 286858172 430287258 573716344 860574516 1147432688 1721149032 3442298064