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249324 = 22379263
BaseRepresentation
bin111100110111101100
3110200000020
4330313230
530434244
65202140
72055615
oct746754
9420006
10249324
11160359
12100350
138963a
1466c0c
154dd19
hex3cdec

249324 has 24 divisors (see below), whose sum is σ = 591360. Its totient is φ = 81744.

The previous prime is 249317. The next prime is 249329. The reversal of 249324 is 423942.

It is a happy number.

It is a d-powerful number, because it can be written as 215 + 44 + 39 + 9 + 217 + 48 .

It is a junction number, because it is equal to n+sod(n) for n = 249294 and 249303.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249324.

It is not an unprimeable number, because it can be changed into a prime (249329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 817 + ... + 1079.

It is an arithmetic number, because the mean of its divisors is an integer number (24640).

2249324 is an apocalyptic number.

It is an amenable number.

249324 is an abundant number, since it is smaller than the sum of its proper divisors (342036).

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

249324 is a wasteful number, since it uses less digits than its factorization.

249324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 347 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 249324 is about 499.3235424051. The cubic root of 249324 is about 62.9392207976.

The spelling of 249324 in words is "two hundred forty-nine thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 79 158 237 263 316 474 526 789 948 1052 1578 3156 20777 41554 62331 83108 124662 249324