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41312430 = 23751889
BaseRepresentation
bin1001110110011…
…0000010101110
32212201220000000
42131212002232
541033444210
64033245130
71011102255
oct235460256
985656000
1041312430
1121357705
1211a037a6
138736033
1456b579c
153960ac0
hex27660ae

41312430 has 64 divisors (see below), whose sum is σ = 111585600. Its totient is φ = 11010816.

The previous prime is 41312423. The next prime is 41312437. The reversal of 41312430 is 3421314.

41312430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41312423) and next prime (41312437).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41312437) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20926 + ... + 22814.

It is an arithmetic number, because the mean of its divisors is an integer number (1743525).

Almost surely, 241312430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41312430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55792800).

41312430 is an abundant number, since it is smaller than the sum of its proper divisors (70273170).

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

41312430 is an equidigital number, since it uses as much as digits as its factorization.

41312430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 41312430 is about 6427.4746207200. The cubic root of 41312430 is about 345.6953838284.

Adding to 41312430 its reverse (3421314), we get a palindrome (44733744).

It can be divided in two parts, 4131 and 2430, that added together give a 8-th power (6561 = 38).

The spelling of 41312430 in words is "forty-one million, three hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 1889 2187 2430 3645 3778 4374 5667 7290 9445 10935 11334 17001 18890 21870 28335 34002 51003 56670 85005 102006 153009 170010 255015 306018 459027 510030 765045 918054 1377081 1530090 2295135 2754162 4131243 4590270 6885405 8262486 13770810 20656215 41312430