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64346880 = 2835131289
BaseRepresentation
bin1111010101110…
…1101100000000
311111002011022210
43311131230000
5112433100010
610215102120
71410640143
oct365355400
9144064283
1064346880
113335a844
1219671940
131043c6a0
14879005a
1559b0b20
hex3d5db00

64346880 has 144 divisors (see below), whose sum is σ = 221487840. Its totient is φ = 15826944.

The previous prime is 64346869. The next prime is 64346897. The reversal of 64346880 is 8864346.

64346880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 49276 + ... + 50564.

It is an arithmetic number, because the mean of its divisors is an integer number (1538110).

Almost surely, 264346880 is an apocalyptic number.

64346880 is a gapful number since it is divisible by the number (60) 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 64346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110743920).

64346880 is an abundant number, since it is smaller than the sum of its proper divisors (157140960).

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

64346880 is a wasteful number, since it uses less digits than its factorization.

64346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 64346880 is about 8021.6507029414. The cubic root of 64346880 is about 400.7213649661.

The spelling of 64346880 in words is "sixty-four million, three hundred forty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1289 1560 1664 1920 2080 2496 2578 3120 3328 3840 3867 4160 4992 5156 6240 6445 7734 8320 9984 10312 12480 12890 15468 16640 16757 19335 20624 24960 25780 30936 33514 38670 41248 49920 50271 51560 61872 67028 77340 82496 83785 100542 103120 123744 134056 154680 164992 167570 201084 206240 247488 251355 268112 309360 329984 335140 402168 412480 494976 502710 536224 618720 670280 804336 824960 989952 1005420 1072448 1237440 1340560 1608672 1649920 2010840 2144896 2474880 2681120 3217344 4021680 4289792 4949760 5362240 6434688 8043360 10724480 12869376 16086720 21448960 32173440 64346880