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2353056 = 253127193
BaseRepresentation
bin1000111110011110100000
311102112210020
420332132200
51100244211
6122233440
726000136
oct10763640
94375706
102353056
111367982
12955880
13645054
14453756
15317306
hex23e7a0

2353056 has 48 divisors (see below), whose sum is σ = 6257664. Its totient is φ = 774144.

The previous prime is 2353051. The next prime is 2353063. The reversal of 2353056 is 6503532.

2353056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2353051) 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, 12096 + ... + 12288.

It is an arithmetic number, because the mean of its divisors is an integer number (130368).

22353056 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 2353056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128832).

2353056 is an abundant number, since it is smaller than the sum of its proper divisors (3904608).

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

2353056 is a wasteful number, since it uses less digits than its factorization.

2353056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 2353056 is about 1533.9674051296. The cubic root of 2353056 is about 133.0078952104.

Adding to 2353056 its reverse (6503532), we get a palindrome (8856588).

The spelling of 2353056 in words is "two million, three hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 193 254 381 386 508 579 762 772 1016 1158 1524 1544 2032 2316 3048 3088 4064 4632 6096 6176 9264 12192 18528 24511 49022 73533 98044 147066 196088 294132 392176 588264 784352 1176528 2353056