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4116304 = 243143193
BaseRepresentation
bin1111101100111101010000
321202010111201
433230331100
52023210204
6224120544
746662613
oct17547520
97663451
104116304
112361705
121466154
13b117aa
1479217a
155649a4
hex3ecf50

4116304 has 40 divisors (see below), whose sum is σ = 8467712. Its totient is φ = 1935360.

The previous prime is 4116271. The next prime is 4116311. The reversal of 4116304 is 4036114.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21232 + ... + 21424.

Almost surely, 24116304 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 4116304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233856).

4116304 is an abundant number, since it is smaller than the sum of its proper divisors (4351408).

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

4116304 is a wasteful number, since it uses less digits than its factorization.

4116304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4116304 is about 2028.8676644868. The cubic root of 4116304 is about 160.2639393607.

The spelling of 4116304 in words is "four million, one hundred sixteen thousand, three hundred four".

Divisors: 1 2 4 8 16 31 43 62 86 124 172 193 248 344 386 496 688 772 1333 1544 2666 3088 5332 5983 8299 10664 11966 16598 21328 23932 33196 47864 66392 95728 132784 257269 514538 1029076 2058152 4116304