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63342 = 2341723
BaseRepresentation
bin1111011101101110
310012220000
433131232
54011332
61205130
7352446
oct173556
9105800
1063342
1143654
12307a6
1322aa6
1419126
1513b7c
hexf76e

63342 has 40 divisors (see below), whose sum is σ = 156816. Its totient is φ = 19008.

The previous prime is 63337. The next prime is 63347. The reversal of 63342 is 24336.

It is an interprime number because it is at equal distance from previous prime (63337) and next prime (63347).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a d-powerful number, because it can be written as 66 + 33 + 35 + 47 + 25 .

Its product of digits (432) is a multiple of the sum of its prime factors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63347) by changing a digit.

63342 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 19 ways as a sum of consecutive naturals, for example, 2743 + ... + 2765.

263342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78408).

63342 is an abundant number, since it is smaller than the sum of its proper divisors (93474).

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

63342 is a wasteful number, since it uses less digits than its factorization.

63342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 45 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 63342 is about 251.6783661740. The cubic root of 63342 is about 39.8624441687.

Adding to 63342 its reverse (24336), we get a palindrome (87678).

It can be divided in two parts, 6334 and 2, that added together give a palindrome (6336).

The spelling of 63342 in words is "sixty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 81 102 138 153 162 207 306 391 414 459 621 782 918 1173 1242 1377 1863 2346 2754 3519 3726 7038 10557 21114 31671 63342