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4307296 = 25724167
BaseRepresentation
bin10000011011100101100000
322002211111111
4100123211200
52100313141
6232153104
751416500
oct20334540
98084444
104307296
112482154
121538794
13b7a6c6
14801a00
155a1381
hex41b960

4307296 has 72 divisors (see below), whose sum is σ = 10255896. Its totient is φ = 1774080.

The previous prime is 4307291. The next prime is 4307297. The reversal of 4307296 is 6927034.

It is an alternating number because its digits alternate between even and odd.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4307291) 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, 64255 + ... + 64321.

It is an arithmetic number, because the mean of its divisors is an integer number (142443).

Almost surely, 24307296 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 4307296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127948).

4307296 is an abundant number, since it is smaller than the sum of its proper divisors (5948600).

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

4307296 is a wasteful number, since it uses less digits than its factorization.

4307296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 4307296 is about 2075.4026115431. The cubic root of 4307296 is about 162.7052522756.

The spelling of 4307296 in words is "four million, three hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 67 82 98 112 134 164 196 224 268 287 328 392 469 536 574 656 784 938 1072 1148 1312 1568 1876 2009 2144 2296 2747 3283 3752 4018 4592 5494 6566 7504 8036 9184 10988 13132 15008 16072 19229 21976 26264 32144 38458 43952 52528 64288 76916 87904 105056 134603 153832 269206 307664 538412 615328 1076824 2153648 4307296