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63294 = 23711137
BaseRepresentation
bin1111011100111110
310012211020
433130332
54011134
61205010
7352350
oct173476
9105736
1063294
1143610
1230766
1322a6a
14190d0
1513b49
hexf73e

63294 has 32 divisors (see below), whose sum is σ = 158976. Its totient is φ = 16320.

The previous prime is 63281. The next prime is 63299. The reversal of 63294 is 49236.

It is a super-2 number, since 2×632942 = 8012260872, which contains 22 as substring.

It is a d-powerful number, because it can be written as 66 + 35 + 2 + 9 + 47 .

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 (63299) by changing a digit.

63294 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (4968).

263294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79488).

63294 is an abundant number, since it is smaller than the sum of its proper divisors (95682).

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

63294 is a wasteful number, since it uses less digits than its factorization.

63294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160.

The product of its digits is 1296, while the sum is 24.

The square root of 63294 is about 251.5829882961. The cubic root of 63294 is about 39.8523724899.

The spelling of 63294 in words is "sixty-three thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 137 154 231 274 411 462 822 959 1507 1918 2877 3014 4521 5754 9042 10549 21098 31647 63294