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63340512 = 2535359211
BaseRepresentation
bin1111000110011…
…1111111100000
311102012000211220
43301213333200
5112203344022
610141335040
71366246134
oct361477740
9142160756
1063340512
1132832734
1219267480
13101795c1
1485ab3c4
15586285c
hex3c67fe0

63340512 has 96 divisors (see below), whose sum is σ = 173093760. Its totient is φ = 20267520.

The previous prime is 63340507. The next prime is 63340513. The reversal of 63340512 is 21504336.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63340513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300087 + ... + 300297.

It is an arithmetic number, because the mean of its divisors is an integer number (1803060).

Almost surely, 263340512 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 63340512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86546880).

63340512 is an abundant number, since it is smaller than the sum of its proper divisors (109753248).

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

63340512 is a wasteful number, since it uses less digits than its factorization.

63340512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 63340512 is about 7958.6752666509. The cubic root of 63340512 is about 398.6213202314.

Adding to 63340512 its reverse (21504336), we get a palindrome (84844848).

It can be divided in two parts, 633 and 40512, that multiplied together give a square (25644096 = 50642).

The spelling of 63340512 in words is "sixty-three million, three hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 59 96 106 118 159 177 211 212 236 318 354 422 424 472 633 636 708 844 848 944 1266 1272 1416 1688 1696 1888 2532 2544 2832 3127 3376 5064 5088 5664 6254 6752 9381 10128 11183 12449 12508 18762 20256 22366 24898 25016 33549 37347 37524 44732 49796 50032 67098 74694 75048 89464 99592 100064 134196 149388 150096 178928 199184 268392 298776 300192 357856 398368 536784 597552 659797 1073568 1195104 1319594 1979391 2639188 3958782 5278376 7917564 10556752 15835128 21113504 31670256 63340512