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34060 = 22513131
BaseRepresentation
bin1000010100001100
31201201111
420110030
52042220
6421404
7201205
oct102414
951644
1034060
1123654
1217864
1312670
14c5ac
15a15a
hex850c

34060 has 24 divisors (see below), whose sum is σ = 77616. Its totient is φ = 12480.

The previous prime is 34057. The next prime is 34061. The reversal of 34060 is 6043.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 34060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195 + ... + 325.

It is an arithmetic number, because the mean of its divisors is an integer number (3234).

234060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38808).

34060 is an abundant number, since it is smaller than the sum of its proper divisors (43556).

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

34060 is a wasteful number, since it uses less digits than its factorization.

34060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 34060 is about 184.5535152740. The cubic root of 34060 is about 32.4151633540.

It can be divided in two parts, 340 and 60, that added together give a square (400 = 202).

The spelling of 34060 in words is "thirty-four thousand, sixty", and thus it is an eban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 130 131 260 262 524 655 1310 1703 2620 3406 6812 8515 17030 34060