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368532 = 223229353
BaseRepresentation
bin1011001111110010100
3200201112100
41121332110
543243112
611522100
73063303
oct1317624
9621470
10368532
1123197a
12159330
13cb988
149843a
15742dc
hex59f94

368532 has 36 divisors (see below), whose sum is σ = 966420. Its totient is φ = 118272.

The previous prime is 368531. The next prime is 368539. The reversal of 368532 is 235863.

It can be divided in two parts, 368 and 532, that added together give a square (900 = 302).

It can be written as a sum of positive squares in 2 ways, for example, as 171396 + 197136 = 414^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 368496 and 368505.

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 368532.

It is not an unprimeable number, because it can be changed into a prime (368531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 868 + ... + 1220.

It is an arithmetic number, because the mean of its divisors is an integer number (26845).

2368532 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 368532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483210).

368532 is an abundant number, since it is smaller than the sum of its proper divisors (597888).

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

368532 is a wasteful number, since it uses less digits than its factorization.

368532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 387 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 368532 is about 607.0683651781. The cubic root of 368532 is about 71.6954730661.

The spelling of 368532 in words is "three hundred sixty-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 353 522 706 1044 1059 1412 2118 3177 4236 6354 10237 12708 20474 30711 40948 61422 92133 122844 184266 368532