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131346 = 2327297
BaseRepresentation
bin100000000100010010
320200011200
4200010102
513200341
62452030
71054635
oct400422
9220150
10131346
118a756
1264016
1347a27
1435c1c
1528db6
hex20112

131346 has 12 divisors (see below), whose sum is σ = 284622. Its totient is φ = 43776.

The previous prime is 131321. The next prime is 131357. The reversal of 131346 is 643131.

It can be written as a sum of positive squares in only one way, i.e., 119025 + 12321 = 345^2 + 111^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7297 = 131346 / (1 + 3 + 1 + 3 + 4 + 6).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3631 + ... + 3666.

2131346 is an apocalyptic number.

131346 is an abundant number, since it is smaller than the sum of its proper divisors (153276).

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

131346 is a wasteful number, since it uses less digits than its factorization.

131346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7305 (or 7302 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 131346 is about 362.4168870238. The cubic root of 131346 is about 50.8322051767.

Subtracting from 131346 its sum of digits (18), we obtain a triangular number (131328 = T512).

Adding to 131346 its reverse (643131), we get a palindrome (774477).

The spelling of 131346 in words is "one hundred thirty-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 7297 14594 21891 43782 65673 131346