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64040320 = 275472129
BaseRepresentation
bin1111010001001…
…0110110000000
311110111120210201
43310102312000
5112343242240
610204334544
71405222321
oct364226600
9143446721
1064040320
1133170493
1219544454
1310362ca6
148710448
15594ed9a
hex3d12d80

64040320 has 64 divisors (see below), whose sum is σ = 156427200. Its totient is φ = 25059328.

The previous prime is 64040299. The next prime is 64040329. The reversal of 64040320 is 2304046.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64040329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29016 + ... + 31144.

It is an arithmetic number, because the mean of its divisors is an integer number (2444175).

Almost surely, 264040320 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 64040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78213600).

64040320 is an abundant number, since it is smaller than the sum of its proper divisors (92386880).

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

64040320 is a wasteful number, since it uses less digits than its factorization.

64040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 64040320 is about 8002.5196032250. The cubic root of 64040320 is about 400.0839823662.

Adding to 64040320 its reverse (2304046), we get a palindrome (66344366).

The spelling of 64040320 in words is "sixty-four million, forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 320 376 470 640 752 940 1504 1880 2129 3008 3760 4258 6016 7520 8516 10645 15040 17032 21290 30080 34064 42580 68128 85160 100063 136256 170320 200126 272512 340640 400252 500315 681280 800504 1000630 1362560 1601008 2001260 3202016 4002520 6404032 8005040 12808064 16010080 32020160 64040320