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1364224 = 28732
BaseRepresentation
bin101001101000100000000
32120022100211
411031010000
5322123344
645123504
714411221
oct5150400
92508324
101364224
11851a64
12559594
13389c44
14277248
151be334
hex14d100

1364224 has 27 divisors (see below), whose sum is σ = 2760933. Its totient is φ = 672768.

The previous prime is 1364221. The next prime is 1364239. The reversal of 1364224 is 4224631.

It is a happy number.

The square root of 1364224 is 1168.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 774400 + 589824 = 880^2 + 768^2 .

It is a super-2 number, since 2×13642242 = 3722214244352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1364195 and 1364204.

It is not an unprimeable number, because it can be changed into a prime (1364221) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 18652 + ... + 18724.

21364224 is an apocalyptic number.

1364224 is the 1168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1364224

1364224 is an abundant number, since it is smaller than the sum of its proper divisors (1396709).

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

1364224 is an frugal number, since it uses more digits than its factorization.

1364224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 75 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The cubic root of 1364224 is about 110.9077500998.

The spelling of 1364224 in words is "one million, three hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 584 1168 2336 4672 5329 9344 10658 18688 21316 42632 85264 170528 341056 682112 1364224