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369252 = 223313263
BaseRepresentation
bin1011010001001100100
3200202112000
41122021210
543304002
611525300
73065352
oct1321144
9622460
10369252
11232474
12159830
13cc0c0
14987d2
157461c
hex5a264

369252 has 48 divisors (see below), whose sum is σ = 1034880. Its totient is φ = 113184.

The previous prime is 369247. The next prime is 369253. The reversal of 369252 is 252963.

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

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 369252.

It is not an unprimeable number, because it can be changed into a prime (369253) by changing a digit.

369252 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, 1273 + ... + 1535.

It is an arithmetic number, because the mean of its divisors is an integer number (21560).

2369252 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 369252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517440).

369252 is an abundant number, since it is smaller than the sum of its proper divisors (665628).

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

369252 is a wasteful number, since it uses less digits than its factorization.

369252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 369252 is about 607.6610897532. The cubic root of 369252 is about 71.7421331118.

The spelling of 369252 in words is "three hundred sixty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 263 351 468 526 702 789 1052 1404 1578 2367 3156 3419 4734 6838 7101 9468 10257 13676 14202 20514 28404 30771 41028 61542 92313 123084 184626 369252