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361224 = 233229173
BaseRepresentation
bin1011000001100001000
3200100111200
41120030020
543024344
611424200
73033063
oct1301410
9610450
10361224
11227436
12155060
13c8556
14958da
1572069
hex58308

361224 has 48 divisors (see below), whose sum is σ = 1017900. Its totient is φ = 115584.

The previous prime is 361223. The next prime is 361237. The reversal of 361224 is 422163.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 338724 + 22500 = 582^2 + 150^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 361197 and 361206.

It is not an unprimeable number, because it can be changed into a prime (361223) 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, 2002 + ... + 2174.

2361224 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 361224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508950).

361224 is an abundant number, since it is smaller than the sum of its proper divisors (656676).

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

361224 is a wasteful number, since it uses less digits than its factorization.

361224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 207 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 361224 is about 601.0191344708. The cubic root of 361224 is about 71.2183978043.

Adding to 361224 its reverse (422163), we get a palindrome (783387).

It can be divided in two parts, 361 and 224, that added together give a palindrome (585).

The spelling of 361224 in words is "three hundred sixty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 173 174 232 261 346 348 519 522 692 696 1038 1044 1384 1557 2076 2088 3114 4152 5017 6228 10034 12456 15051 20068 30102 40136 45153 60204 90306 120408 180612 361224