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2383248 = 243741173
BaseRepresentation
bin1001000101110110010000
311111002012110
421011312100
51102230443
6123025320
726154150
oct11056620
94432173
102383248
11138862a
1296b240
13655a0a
14460760
15321233
hex245d90

2383248 has 80 divisors (see below), whose sum is σ = 7249536. Its totient is φ = 660480.

The previous prime is 2383219. The next prime is 2383253. The reversal of 2383248 is 8423832.

2383248 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13690 + ... + 13862.

22383248 is an apocalyptic number.

2383248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2383248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624768).

2383248 is an abundant number, since it is smaller than the sum of its proper divisors (4866288).

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

2383248 is a wasteful number, since it uses less digits than its factorization.

2383248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 2383248 is about 1543.7771859954. Note that the first 3 decimals coincide. The cubic root of 2383248 is about 133.5743529480.

It can be divided in two parts, 238 and 3248, that added together give a triangular number (3486 = T83).

The spelling of 2383248 in words is "two million, three hundred eighty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 173 246 287 328 336 346 492 519 574 656 692 861 984 1038 1148 1211 1384 1722 1968 2076 2296 2422 2768 3444 3633 4152 4592 4844 6888 7093 7266 8304 9688 13776 14186 14532 19376 21279 28372 29064 42558 49651 56744 58128 85116 99302 113488 148953 170232 198604 297906 340464 397208 595812 794416 1191624 2383248