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150345 = 32513257
BaseRepresentation
bin100100101101001001
321122020100
4210231021
514302340
63120013
71164216
oct445511
9248210
10150345
11a2a58
1273009
1353580
143cb0d
152e830
hex24b49

150345 has 24 divisors (see below), whose sum is σ = 281736. Its totient is φ = 73728.

The previous prime is 150343. The next prime is 150373. The reversal of 150345 is 543051.

150345 is nontrivially palindromic in base 2.

It can be written as a sum of positive squares in 4 ways, for example, as 29241 + 121104 = 171^2 + 348^2 .

It is not a de Polignac number, because 150345 - 21 = 150343 is a prime.

It is a Curzon number.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (11739).

2150345 is an apocalyptic number.

150345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

150345 is a deficient number, since it is larger than the sum of its proper divisors (131391).

150345 is a wasteful number, since it uses less digits than its factorization.

150345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 150345 is about 387.7434718986. The cubic root of 150345 is about 53.1736325138.

Adding to 150345 its reverse (543051), we get a palindrome (693396).

The spelling of 150345 in words is "one hundred fifty thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 257 585 771 1285 2313 3341 3855 10023 11565 16705 30069 50115 150345