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2338752 = 26313937
BaseRepresentation
bin1000111010111111000000
311101211011110
420322333000
51044320002
6122043320
725610343
oct10727700
94354143
102338752
111358159
12949540
1363b6a0
1444c45a
15312e6c
hex23afc0

2338752 has 56 divisors (see below), whose sum is σ = 6671056. Its totient is φ = 718848.

The previous prime is 2338751. The next prime is 2338757. The reversal of 2338752 is 2578332.

2338752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 213 + 38 + 311 + 85 + 75 + 53 + 221 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2338751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2028 + ... + 2964.

It is an arithmetic number, because the mean of its divisors is an integer number (119126).

22338752 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 2338752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335528).

2338752 is an abundant number, since it is smaller than the sum of its proper divisors (4332304).

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

2338752 is a wasteful number, since it uses less digits than its factorization.

2338752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 955 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 2338752 is about 1529.2978781127. The cubic root of 2338752 is about 132.7378331953.

The spelling of 2338752 in words is "two million, three hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 937 1248 1874 2496 2811 3748 5622 7496 11244 12181 14992 22488 24362 29984 36543 44976 48724 59968 73086 89952 97448 146172 179904 194896 292344 389792 584688 779584 1169376 2338752