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8380224 = 263214549
BaseRepresentation
bin11111111101111101000000
3120202202111200
4133331331000
54121131344
6455341200
7131142066
oct37757500
916682450
108380224
114804206
122981800
131975518
141182036
15b08069
hex7fdf40

8380224 has 42 divisors (see below), whose sum is σ = 24022050. Its totient is φ = 2793216.

The previous prime is 8380223. The next prime is 8380237. The reversal of 8380224 is 4220838.

It can be written as a sum of positive squares in only one way, i.e., 8020224 + 360000 = 2832^2 + 600^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8380223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6699 + ... + 7850.

Almost surely, 28380224 is an apocalyptic number.

It is an amenable number.

8380224 is an abundant number, since it is smaller than the sum of its proper divisors (15641826).

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

8380224 is a wasteful number, since it uses less digits than its factorization.

8380224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14567 (or 14554 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8380224 is about 2894.8616547255. The cubic root of 8380224 is about 203.1196201810.

The spelling of 8380224 in words is "eight million, three hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 14549 29098 43647 58196 87294 116392 130941 174588 232784 261882 349176 465568 523764 698352 931136 1047528 1396704 2095056 2793408 4190112 8380224