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145314 = 2351323
BaseRepresentation
bin100011011110100010
321101100000
4203132202
514122224
63040430
71143441
oct433642
9241300
10145314
119a1a4
1270116
13511b0
143ad58
152d0c9
hex237a2

145314 has 48 divisors (see below), whose sum is σ = 366912. Its totient is φ = 42768.

The previous prime is 145307. The next prime is 145349. The reversal of 145314 is 413541.

Adding to 145314 its reverse (413541), we get a palindrome (558855).

It can be divided in two parts, 14531 and 4, that added together give a triangular number (14535 = T170).

It is a happy number.

145314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453142 = 42232317192, which contains 22 as substring.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 145314.

It is an unprimeable number.

145314 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 23 ways as a sum of consecutive naturals, for example, 6307 + ... + 6329.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

145314 is a Friedman number, since it can be written as 414*351, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 351414 (with its own digits).

2145314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456).

145314 is an abundant number, since it is smaller than the sum of its proper divisors (221598).

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

145314 is a wasteful number, since it uses less digits than its factorization.

145314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 41 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 145314 is about 381.2007345219. The cubic root of 145314 is about 52.5737738343.

The spelling of 145314 in words is "one hundred forty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 81 117 138 162 207 234 243 299 351 414 486 598 621 702 897 1053 1242 1794 1863 2106 2691 3159 3726 5382 5589 6318 8073 11178 16146 24219 48438 72657 145314