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63340288 = 281183271
BaseRepresentation
bin1111000110011…
…1111100000000
311102012000112121
43301213330000
5112203342123
610141334024
71366245364
oct361477400
9142160477
1063340288
1132832550
1219267314
131017947b
1485ab2a4
15586275d
hex3c67f00

63340288 has 72 divisors (see below), whose sum is σ = 140103936. Its totient is φ = 28339200.

The previous prime is 63340279. The next prime is 63340297. The reversal of 63340288 is 88204336.

63340288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (63340279) and next prime (63340297).

It is a zygodrome in base 2.

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 7 ways as a sum of consecutive naturals, for example, 233593 + ... + 233863.

It is an arithmetic number, because the mean of its divisors is an integer number (1945888).

Almost surely, 263340288 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 63340288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70051968).

63340288 is an abundant number, since it is smaller than the sum of its proper divisors (76763648).

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

63340288 is a wasteful number, since it uses less digits than its factorization.

63340288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 63340288 is about 7958.6611939446. The cubic root of 63340288 is about 398.6208503305.

The spelling of 63340288 in words is "sixty-three million, three hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 128 166 176 256 271 332 352 542 664 704 913 1084 1328 1408 1826 2168 2656 2816 2981 3652 4336 5312 5962 7304 8672 10624 11924 14608 17344 21248 22493 23848 29216 34688 44986 47696 58432 69376 89972 95392 116864 179944 190784 233728 247423 359888 381568 494846 719776 763136 989692 1439552 1979384 2879104 3958768 5758208 7917536 15835072 31670144 63340288