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3384216 = 2332114273
BaseRepresentation
bin1100111010001110011000
320100221021100
430322032120
51331243331
6200311400
740523343
oct14721630
96327240
103384216
111a01680
121172560
139164c4
1464145a
1546cae6
hex33a398

3384216 has 48 divisors (see below), whose sum is σ = 10001160. Its totient is φ = 1025280.

The previous prime is 3384203. The next prime is 3384217. The reversal of 3384216 is 6124833.

It is a happy number.

3384216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33842162 = 22905835869312, which contains 22 as substring.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3384216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1345 + ... + 2928.

Almost surely, 23384216 is an apocalyptic number.

3384216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3384216 is an abundant number, since it is smaller than the sum of its proper divisors (6616944).

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

3384216 is a wasteful number, since it uses less digits than its factorization.

3384216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4289 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3384216 is about 1839.6238746005. The cubic root of 3384216 is about 150.1364092458.

It can be divided in two parts, 3384 and 216, that added together give a square (3600 = 602).

The spelling of 3384216 in words is "three million, three hundred eighty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 4273 8546 12819 17092 25638 34184 38457 47003 51276 76914 94006 102552 141009 153828 188012 282018 307656 376024 423027 564036 846054 1128072 1692108 3384216