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34542 = 23219101
BaseRepresentation
bin1000011011101110
31202101100
420123232
52101132
6423530
7202464
oct103356
952340
1034542
1123a52
1217ba6
1312951
14c834
15a37c
hex86ee

34542 has 24 divisors (see below), whose sum is σ = 79560. Its totient is φ = 10800.

The previous prime is 34537. The next prime is 34543. The reversal of 34542 is 24543.

It is a happy number.

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 36 + 42 + 5 + 45 + 215 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34543) by changing a digit.

34542 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 11 ways as a sum of consecutive naturals, for example, 292 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (3315).

234542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39780).

34542 is an abundant number, since it is smaller than the sum of its proper divisors (45018).

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

34542 is a wasteful number, since it uses less digits than its factorization.

34542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 125 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 34542 is about 185.8547820208. The cubic root of 34542 is about 32.5673553804.

Subtracting from 34542 its reverse (24543), we obtain a palindrome (9999).

It can be divided in two parts, 34 and 542, that added together give a square (576 = 242).

The spelling of 34542 in words is "thirty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 101 114 171 202 303 342 606 909 1818 1919 3838 5757 11514 17271 34542