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63378384 = 24331191223
BaseRepresentation
bin1111000111000…
…1001111010000
311102020221210120
43301301033100
5112211102014
610142230240
71366464426
oct361611720
9142227716
1063378384
1132859133
1219285380
1310190904
1485bb116
15586dba9
hex3c713d0

63378384 has 80 divisors (see below), whose sum is σ = 170655744. Its totient is φ = 20246400.

The previous prime is 63378361. The next prime is 63378389. The reversal of 63378384 is 48387336.

63378384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63378389) by changing a digit.

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, 284097 + ... + 284319.

Almost surely, 263378384 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 63378384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85327872).

63378384 is an abundant number, since it is smaller than the sum of its proper divisors (107277360).

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

63378384 is a wasteful number, since it uses less digits than its factorization.

63378384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 63378384 is about 7961.0542015489. The cubic root of 63378384 is about 398.7007511167.

The spelling of 63378384 in words is "sixty-three million, three hundred seventy-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 191 223 248 372 382 446 496 573 669 744 764 892 1146 1338 1488 1528 1784 2292 2676 3056 3568 4584 5352 5921 6913 9168 10704 11842 13826 17763 20739 23684 27652 35526 41478 42593 47368 55304 71052 82956 85186 94736 110608 127779 142104 165912 170372 255558 284208 331824 340744 511116 681488 1022232 1320383 2044464 2640766 3961149 5281532 7922298 10563064 15844596 21126128 31689192 63378384