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2303712 = 253219421
BaseRepresentation
bin1000110010011011100000
311100001002200
420302123200
51042204322
6121213200
725403235
oct10623340
94301080
102303712
1113338a4
12931200
13628758
1443d78c
153078ac
hex2326e0

2303712 has 72 divisors (see below), whose sum is σ = 6912360. Its totient is φ = 725760.

The previous prime is 2303701. The next prime is 2303713. The reversal of 2303712 is 2173032.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5262 + ... + 5682.

It is an arithmetic number, because the mean of its divisors is an integer number (96005).

22303712 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 2303712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456180).

2303712 is an abundant number, since it is smaller than the sum of its proper divisors (4608648).

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

2303712 is a wasteful number, since it uses less digits than its factorization.

2303712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 2303712 is about 1517.7984055862. The cubic root of 2303712 is about 132.0715865144.

Adding to 2303712 its reverse (2173032), we get a palindrome (4476744).

The spelling of 2303712 in words is "two million, three hundred three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 421 456 608 684 842 912 1263 1368 1684 1824 2526 2736 3368 3789 5052 5472 6736 7578 7999 10104 13472 15156 15998 20208 23997 30312 31996 40416 47994 60624 63992 71991 95988 121248 127984 143982 191976 255968 287964 383952 575928 767904 1151856 2303712