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144396 = 22337191
BaseRepresentation
bin100011010000001100
321100002000
4203100030
514110041
63032300
71140660
oct432014
9240060
10144396
119953a
126b690
1350955
143a8a0
152cbb6
hex2340c

144396 has 48 divisors (see below), whose sum is σ = 430080. Its totient is φ = 41040.

The previous prime is 144383. The next prime is 144407. The reversal of 144396 is 693441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

144396 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, 661 + ... + 851.

It is an arithmetic number, because the mean of its divisors is an integer number (8960).

2144396 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 144396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215040).

144396 is an abundant number, since it is smaller than the sum of its proper divisors (285684).

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

144396 is a wasteful number, since it uses less digits than its factorization.

144396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 144396 is about 379.9947368057. The cubic root of 144396 is about 52.4628308339.

The spelling of 144396 in words is "one hundred forty-four thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 191 252 378 382 573 756 764 1146 1337 1719 2292 2674 3438 4011 5157 5348 6876 8022 10314 12033 16044 20628 24066 36099 48132 72198 144396