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363141 = 32157257
BaseRepresentation
bin1011000101010000101
3200110010200
41120222011
543110031
611441113
73041502
oct1305205
9613120
10363141
11228919
12156199
13c939c
14964a9
15728e6
hex58a85

363141 has 12 divisors (see below), whose sum is σ = 529932. Its totient is φ = 239616.

The previous prime is 363119. The next prime is 363149. The reversal of 363141 is 141363.

363141 is nontrivially palindromic in base 13 and base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 260100 + 103041 = 510^2 + 321^2 .

It is not a de Polignac number, because 363141 - 29 = 362629 is a prime.

363141 is a lucky number.

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 363141.

It is not an unprimeable number, because it can be changed into a prime (363149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1285 + ... + 1541.

It is an arithmetic number, because the mean of its divisors is an integer number (44161).

2363141 is an apocalyptic number.

It is an amenable number.

363141 is a deficient number, since it is larger than the sum of its proper divisors (166791).

363141 is a wasteful number, since it uses less digits than its factorization.

363141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 417 counting only the distinct ones).

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

The square root of 363141 is about 602.6118153505. The cubic root of 363141 is about 71.3441599041.

It can be divided in two parts, 36314 and 1, that added together give a triangular number (36315 = T269).

The spelling of 363141 in words is "three hundred sixty-three thousand, one hundred forty-one".

Divisors: 1 3 9 157 257 471 771 1413 2313 40349 121047 363141