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3391704288 = 253271988547
BaseRepresentation
bin1100101000101001…
…0100110011100000
322202101002102121100
43022022110303200
523421234014123
61320315554400
7150023003460
oct31212246340
98671072540
103391704288
11149058a6a5
127a7a5ba00
134208acc1b
1424264bba0
1514cb69643
hexca294ce0

3391704288 has 144 divisors (see below), whose sum is σ = 11603329920. Its totient is φ = 918044928.

The previous prime is 3391704263. The next prime is 3391704311. The reversal of 3391704288 is 8824071933.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 5970 + ... + 82577.

It is an arithmetic number, because the mean of its divisors is an integer number (80578680).

Almost surely, 23391704288 is an apocalyptic number.

3391704288 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3391704288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801664960).

3391704288 is an abundant number, since it is smaller than the sum of its proper divisors (8211625632).

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

3391704288 is a wasteful number, since it uses less digits than its factorization.

3391704288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88589 (or 88578 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3391704288 is about 58238.3403609684. The cubic root of 3391704288 is about 1502.4706377319.

The spelling of 3391704288 in words is "three billion, three hundred ninety-one million, seven hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 19152 38304 88547 177094 265641 354188 531282 619829 708376 796923 1062564 1239658 1416752 1593846 1682393 1859487 2125128 2479316 2833504 3187692 3364786 3718974 4250256 4958632 5047179 5578461 6375384 6729572 7437948 8500512 9917264 10094358 11156922 11776751 12750768 13459144 14875896 15141537 19834528 20188716 22313844 23553502 25501536 26918288 29751792 30283074 35330253 40377432 44627688 47107004 53836576 59503584 60566148 70660506 80754864 89255376 94214008 105990759 121132296 141321012 161509728 178510752 188428016 211981518 242264592 282642024 376856032 423963036 484529184 565284048 847926072 1130568096 1695852144 3391704288