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2323264 = 26311171
BaseRepresentation
bin1000110111001101000000
311101000220211
420313031000
51043321024
6121443504
725514236
oct10671500
94330824
102323264
111347559
12940594
13634618
14446956
1530d594
hex237340

2323264 has 28 divisors (see below), whose sum is σ = 4763008. Its totient is φ = 1123200.

The previous prime is 2323261. The next prime is 2323273. The reversal of 2323264 is 4623232.

It is a happy number.

2323264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23232642 = 10795111227392, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2 + 35 + 211 + 311 + 221 + 66 + 42 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2323261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1399 + ... + 2569.

22323264 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 2323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381504).

2323264 is an abundant number, since it is smaller than the sum of its proper divisors (2439744).

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

2323264 is a wasteful number, since it uses less digits than its factorization.

2323264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1204 counting only the distinct ones).

The product of its digits is 1728, while the sum is 22.

The square root of 2323264 is about 1524.2257050713. The cubic root of 2323264 is about 132.4441725175. Note that the first 3 decimals are identical.

Adding to 2323264 its reverse (4623232), we get a palindrome (6946496).

Subtracting 2323264 from its reverse (4623232), we obtain a cube (2299968 = 1323).

The spelling of 2323264 in words is "two million, three hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1171 1984 2342 4684 9368 18736 36301 37472 72602 74944 145204 290408 580816 1161632 2323264