Search a number
-
+
134310 = 23511237
BaseRepresentation
bin100000110010100110
320211020110
4200302212
513244220
62513450
71066401
oct406246
9224213
10134310
1191a00
1265886
1349197
1436d38
1529be0
hex20ca6

134310 has 48 divisors (see below), whose sum is σ = 363888. Its totient is φ = 31680.

The previous prime is 134293. The next prime is 134327. The reversal of 134310 is 13431.

It is an interprime number because it is at equal distance from previous prime (134293) and next prime (134327).

It is a super-2 number, since 2×1343102 = 36078352200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

134310 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3612 + ... + 3648.

It is an arithmetic number, because the mean of its divisors is an integer number (7581).

2134310 is an apocalyptic number.

134310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181944).

134310 is an abundant number, since it is smaller than the sum of its proper divisors (229578).

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

134310 is a wasteful number, since it uses less digits than its factorization.

134310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 134310 is about 366.4832874771. The cubic root of 134310 is about 51.2117303038.

Adding to 134310 its reverse (13431), we get a palindrome (147741).

It can be divided in two parts, 134 and 310, that added together give a palindrome (444).

The spelling of 134310 in words is "one hundred thirty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 121 165 185 222 242 330 363 370 407 555 605 726 814 1110 1210 1221 1815 2035 2442 3630 4070 4477 6105 8954 12210 13431 22385 26862 44770 67155 134310