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2380248 = 2332132543
BaseRepresentation
bin1001000101000111011000
311110221002100
421011013120
51102131443
6123003400
726142333
oct11050730
94427070
102380248
111386352
12969560
13654540
1445d61a
153203d3
hex2451d8

2380248 has 48 divisors (see below), whose sum is σ = 6945120. Its totient is φ = 732096.

The previous prime is 2380241. The next prime is 2380249. The reversal of 2380248 is 8420832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380241) 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, 336 + ... + 2207.

It is an arithmetic number, because the mean of its divisors is an integer number (144690).

22380248 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 2380248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472560).

2380248 is an abundant number, since it is smaller than the sum of its proper divisors (4564872).

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

2380248 is a wasteful number, since it uses less digits than its factorization.

2380248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2561 counting only the distinct ones).

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

The square root of 2380248 is about 1542.8052372221. The cubic root of 2380248 is about 133.5182822246.

It can be divided in two parts, 2380 and 248, that added together give a triangular number (2628 = T72).

The spelling of 2380248 in words is "two million, three hundred eighty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2543 5086 7629 10172 15258 20344 22887 30516 33059 45774 61032 66118 91548 99177 132236 183096 198354 264472 297531 396708 595062 793416 1190124 2380248