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41434644 = 223171012011
BaseRepresentation
bin1001111000001…
…1111000010100
32212222002122110
42132003320110
541101402034
64040031020
71012121466
oct236037024
985862573
1041434644
1121430509
1211a62470
138779854
145708136
153986de9
hex2783e14

41434644 has 48 divisors (see below), whose sum is σ = 103432896. Its totient is φ = 12864000.

The previous prime is 41434643. The next prime is 41434651. The reversal of 41434644 is 44643414.

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 (41434643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19599 + ... + 21609.

It is an arithmetic number, because the mean of its divisors is an integer number (2154852).

Almost surely, 241434644 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 41434644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51716448).

41434644 is an abundant number, since it is smaller than the sum of its proper divisors (61998252).

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

41434644 is a wasteful number, since it uses less digits than its factorization.

41434644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2134 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 41434644 is about 6436.9747552713. The cubic root of 41434644 is about 346.0359368823.

The spelling of 41434644 in words is "forty-one million, four hundred thirty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 202 204 303 404 606 1212 1717 2011 3434 4022 5151 6033 6868 8044 10302 12066 20604 24132 34187 68374 102561 136748 203111 205122 406222 410244 609333 812444 1218666 2437332 3452887 6905774 10358661 13811548 20717322 41434644