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4304672 = 251741193
BaseRepresentation
bin10000011010111100100000
322002200220022
4100122330200
52100222142
6232133012
751406031
oct20327440
98080808
104304672
112480189
121537168
13b79458
14800a88
155a06d2
hex41af20

4304672 has 48 divisors (see below), whose sum is σ = 9239832. Its totient is φ = 1966080.

The previous prime is 4304669. The next prime is 4304693. The reversal of 4304672 is 2764034.

It is a happy number.

4304672 is nontrivially palindromic in base 3 and base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 2676496 + 1628176 = 1636^2 + 1276^2 .

4304672 is an undulating number in base 9.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22208 + ... + 22400.

Almost surely, 24304672 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 4304672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619916).

4304672 is an abundant number, since it is smaller than the sum of its proper divisors (4935160).

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

4304672 is a wasteful number, since it uses less digits than its factorization.

4304672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 4304672 is about 2074.7703487374. The cubic root of 4304672 is about 162.6722056103.

The spelling of 4304672 in words is "four million, three hundred four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 164 193 272 328 386 544 656 697 772 1312 1394 1544 2788 3088 3281 5576 6176 6562 7913 11152 13124 15826 22304 26248 31652 52496 63304 104992 126608 134521 253216 269042 538084 1076168 2152336 4304672