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3303471864 = 2337112936101
BaseRepresentation
bin1100010011100110…
…1111101011111000
322112020001202110210
43010321233223320
523231142044424
61303444511120
7144602022210
oct30471575370
98466052423
103303471864
1114457a6340
127823ab4a0
134085296a4
14234a41240
1514503b729
hexc4e6faf8

3303471864 has 128 divisors (see below), whose sum is σ = 10333370880. Its totient is φ = 854976000.

The previous prime is 3303471863. The next prime is 3303471869. The reversal of 3303471864 is 4681743033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3303471863) 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 31 ways as a sum of consecutive naturals, for example, 538414 + ... + 544514.

It is an arithmetic number, because the mean of its divisors is an integer number (80729460).

Almost surely, 23303471864 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 3303471864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166685440).

3303471864 is an abundant number, since it is smaller than the sum of its proper divisors (7029899016).

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

3303471864 is a wasteful number, since it uses less digits than its factorization.

3303471864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6421 (or 6417 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 3303471864 is about 57475.8372187826. The cubic root of 3303471864 is about 1489.3274841409.

The spelling of 3303471864 in words is "three billion, three hundred three million, four hundred seventy-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 293 308 462 586 616 879 924 1172 1758 1848 2051 2344 3223 3516 4102 6101 6153 6446 7032 8204 9669 12202 12306 12892 16408 18303 19338 22561 24404 24612 25784 36606 38676 42707 45122 48808 49224 67111 67683 73212 77352 85414 90244 128121 134222 135366 146424 170828 180488 201333 256242 268444 270732 341656 402666 469777 512484 536888 541464 805332 939554 1024968 1409331 1610664 1787593 1879108 2818662 3575186 3758216 5362779 5637324 7150372 10725558 11274648 12513151 14300744 19663523 21451116 25026302 37539453 39327046 42902232 50052604 58990569 75078906 78654092 100105208 117981138 137644661 150157812 157308184 235962276 275289322 300315624 412933983 471924552 550578644 825867966 1101157288 1651735932 3303471864