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416412 = 223243269
BaseRepresentation
bin1100101101010011100
3210011012200
41211222130
5101311122
612531500
73353013
oct1455234
9704180
10416412
11264947
12180b90
131176c9
14aba7a
15835ac
hex65a9c

416412 has 36 divisors (see below), whose sum is σ = 1081080. Its totient is φ = 135072.

The previous prime is 416407. The next prime is 416413. The reversal of 416412 is 214614.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (416413) by changing a digit.

416412 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1414 + ... + 1682.

It is an arithmetic number, because the mean of its divisors is an integer number (30030).

2416412 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 416412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540540).

416412 is an abundant number, since it is smaller than the sum of its proper divisors (664668).

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

416412 is a wasteful number, since it uses less digits than its factorization.

416412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 317 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 416412 is about 645.2999302650. The cubic root of 416412 is about 74.6748591493.

It can be divided in two parts, 416 and 412, that added together give a palindrome (828).

The spelling of 416412 in words is "four hundred sixteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 269 387 516 538 774 807 1076 1548 1614 2421 3228 4842 9684 11567 23134 34701 46268 69402 104103 138804 208206 416412