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2332896 = 253191279
BaseRepresentation
bin1000111001100011100000
311101112010120
420321203200
51044123041
6122000240
725554306
oct10714340
94345116
102332896
111353815
12946080
13638b17
1444a276
15311366
hex2398e0

2332896 has 48 divisors (see below), whose sum is σ = 6451200. Its totient is φ = 736128.

The previous prime is 2332871. The next prime is 2332903. The reversal of 2332896 is 6982332.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1185 + ... + 2463.

It is an arithmetic number, because the mean of its divisors is an integer number (134400).

22332896 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 2332896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225600).

2332896 is an abundant number, since it is smaller than the sum of its proper divisors (4118304).

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

2332896 is a wasteful number, since it uses less digits than its factorization.

2332896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1303 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 2332896 is about 1527.3820740077. The cubic root of 2332896 is about 132.6269532009.

The spelling of 2332896 in words is "two million, three hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1279 1824 2558 3837 5116 7674 10232 15348 20464 24301 30696 40928 48602 61392 72903 97204 122784 145806 194408 291612 388816 583224 777632 1166448 2332896