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63378 = 2327503
BaseRepresentation
bin1111011110010010
310012221100
433132102
54012003
61205230
7352530
oct173622
9105840
1063378
1143687
1230816
1322b03
1419150
1513ba3
hexf792

63378 has 24 divisors (see below), whose sum is σ = 157248. Its totient is φ = 18072.

The previous prime is 63377. The next prime is 63389. The reversal of 63378 is 87336.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (63377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126 + ... + 377.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

263378 is an apocalyptic number.

63378 is an abundant number, since it is smaller than the sum of its proper divisors (93870).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624).

63378 is a wasteful number, since it uses less digits than its factorization.

63378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 515 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 63378 is about 251.7498758689. The cubic root of 63378 is about 39.8699945893.

It can be divided in two parts, 63 and 378, that added together give a square (441 = 212).

The spelling of 63378 in words is "sixty-three thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 503 1006 1509 3018 3521 4527 7042 9054 10563 21126 31689 63378