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146340 = 22335271
BaseRepresentation
bin100011101110100100
321102202000
4203232210
514140330
63045300
71146435
oct435644
9242660
10146340
119aa47
1270830
13517bc
143b48c
152d560
hex23ba4

146340 has 48 divisors (see below), whose sum is σ = 456960. Its totient is φ = 38880.

The previous prime is 146323. The next prime is 146347. The reversal of 146340 is 43641.

146340 = 173 + 183 + ... + 283.

146340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (146347) by changing a digit.

146340 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 15 ways as a sum of consecutive naturals, for example, 405 + ... + 675.

It is an arithmetic number, because the mean of its divisors is an integer number (9520).

2146340 is an apocalyptic number.

146340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228480).

146340 is an abundant number, since it is smaller than the sum of its proper divisors (310620).

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

146340 is a wasteful number, since it uses less digits than its factorization.

146340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 146340 is about 382.5441151031. The cubic root of 146340 is about 52.6972174045.

Adding to 146340 its reverse (43641), we get a palindrome (189981).

The spelling of 146340 in words is "one hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 271 540 542 813 1084 1355 1626 2439 2710 3252 4065 4878 5420 7317 8130 9756 12195 14634 16260 24390 29268 36585 48780 73170 146340