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4116336 = 243712251
BaseRepresentation
bin1111101100111101110000
321202010112220
433230331300
52023210321
6224121040
746662660
oct17547560
97663486
104116336
112361734
121466180
13b11803
147921a0
155649c6
hex3ecf70

4116336 has 40 divisors (see below), whose sum is σ = 12153984. Its totient is φ = 1176000.

The previous prime is 4116323. The next prime is 4116337. The reversal of 4116336 is 6336114.

It is a super-3 number, since 3×41163363 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4116337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5790 + ... + 6461.

Almost surely, 24116336 is an apocalyptic number.

It is an amenable number.

4116336 is an abundant number, since it is smaller than the sum of its proper divisors (8037648).

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

4116336 is a wasteful number, since it uses less digits than its factorization.

4116336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12269 (or 12263 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 4116336 is about 2028.8755506438. The cubic root of 4116336 is about 160.2643546550.

It can be divided in two parts, 4116 and 336, that multiplied together give a square (1382976 = 11762).

The spelling of 4116336 in words is "four million, one hundred sixteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 12251 24502 36753 49004 73506 85757 98008 147012 171514 196016 257271 294024 343028 514542 588048 686056 1029084 1372112 2058168 4116336