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2338848 = 25332707
BaseRepresentation
bin1000111011000000100000
311101211022000
420323000200
51044320343
6122044000
725610541
oct10730040
94354260
102338848
111358236
12949600
1363b745
1444c4c8
15312ed3
hex23b020

2338848 has 48 divisors (see below), whose sum is σ = 6824160. Its totient is φ = 779328.

The previous prime is 2338823. The next prime is 2338849. The reversal of 2338848 is 8488332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2338849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 490 + ... + 2217.

It is an arithmetic number, because the mean of its divisors is an integer number (142170).

22338848 is an apocalyptic number.

It is an amenable number.

2338848 is an abundant number, since it is smaller than the sum of its proper divisors (4485312).

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

2338848 is a wasteful number, since it uses less digits than its factorization.

2338848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2712 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2338848 is about 1529.3292647432. The cubic root of 2338848 is about 132.7396493574.

It can be divided in two parts, 23388 and 48, that added together give a triangular number (23436 = T216).

The spelling of 2338848 in words is "two million, three hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2707 5414 8121 10828 16242 21656 24363 32484 43312 48726 64968 73089 86624 97452 129936 146178 194904 259872 292356 389808 584712 779616 1169424 2338848