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4305216 = 263171319
BaseRepresentation
bin10000011011000101000000
322002201122110
4100123011000
52100231331
6232135320
751410436
oct20330500
98081573
104305216
112480633
121537540
13b79786
14800d56
155a0946
hex41b140

4305216 has 56 divisors (see below), whose sum is σ = 12070080. Its totient is φ = 1349632.

The previous prime is 4305211. The next prime is 4305221. The reversal of 4305216 is 6125034.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4305211) and next prime (4305221).

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

It is a junction number, because it is equal to n+sod(n) for n = 4305192 and 4305201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4305211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2605 + ... + 3923.

Almost surely, 24305216 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 4305216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035040).

4305216 is an abundant number, since it is smaller than the sum of its proper divisors (7764864).

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

4305216 is a wasteful number, since it uses less digits than its factorization.

4305216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 4305216 is about 2074.9014434426. The cubic root of 4305216 is about 162.6790578515.

The spelling of 4305216 in words is "four million, three hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1319 1632 2638 3264 3957 5276 7914 10552 15828 21104 22423 31656 42208 44846 63312 67269 84416 89692 126624 134538 179384 253248 269076 358768 538152 717536 1076304 1435072 2152608 4305216