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2338648 = 2313113199
BaseRepresentation
bin1000111010111101011000
311101211000121
420322331120
51044314043
6122043024
725610134
oct10727530
94354017
102338648
111358074
12949474
1363b620
1444c3c4
15312ded
hex23af58

2338648 has 32 divisors (see below), whose sum is σ = 4788000. Its totient is φ = 1064448.

The previous prime is 2338643. The next prime is 2338657. The reversal of 2338648 is 8468332.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 217 + 37 + 310 + 85 + 62 + 47 + 87 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2338643) 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, 11653 + ... + 11851.

It is an arithmetic number, because the mean of its divisors is an integer number (149625).

22338648 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 2338648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394000).

2338648 is an abundant number, since it is smaller than the sum of its proper divisors (2449352).

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

2338648 is a wasteful number, since it uses less digits than its factorization.

2338648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 2338648 is about 1529.2638752027. The cubic root of 2338648 is about 132.7358656304.

The spelling of 2338648 in words is "two million, three hundred thirty-eight thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 104 113 199 226 398 452 796 904 1469 1592 2587 2938 5174 5876 10348 11752 20696 22487 44974 89948 179896 292331 584662 1169324 2338648