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63414 = 23213271
BaseRepresentation
bin1111011110110110
310012222200
433132312
54012124
61205330
7352611
oct173666
9105880
1063414
114370a
1230846
1322b30
1419178
1513bc9
hexf7b6

63414 has 24 divisors (see below), whose sum is σ = 148512. Its totient is φ = 19440.

The previous prime is 63409. The next prime is 63419. The reversal of 63414 is 41436.

It is an interprime number because it is at equal distance from previous prime (63409) and next prime (63419).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63419) 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, 99 + ... + 369.

It is an arithmetic number, because the mean of its divisors is an integer number (6188).

263414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74256).

63414 is an abundant number, since it is smaller than the sum of its proper divisors (85098).

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

63414 is a wasteful number, since it uses less digits than its factorization.

63414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 289 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 63414 is about 251.8213652572. The cubic root of 63414 is about 39.8775421511.

The spelling of 63414 in words is "sixty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 271 542 813 1626 2439 3523 4878 7046 10569 21138 31707 63414