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41114430 = 2325729323
BaseRepresentation
bin1001110011010…
…1101100111110
32212100211101200
42130311230332
541011130210
64025120330
71006316100
oct234655476
985324350
1041114430
1121231975
12119290a6
138696b86
145663570
1539220c0
hex2735b3e

41114430 has 72 divisors (see below), whose sum is σ = 124363512. Its totient is φ = 9396576.

The previous prime is 41114419. The next prime is 41114443. The reversal of 41114430 is 3441114.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 252 + ... + 9071.

It is an arithmetic number, because the mean of its divisors is an integer number (1727271).

Almost surely, 241114430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41114430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62181756).

41114430 is an abundant number, since it is smaller than the sum of its proper divisors (83249082).

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

41114430 is a wasteful number, since it uses less digits than its factorization.

41114430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9350 (or 9340 counting only the distinct ones).

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

The square root of 41114430 is about 6412.0534932266. The cubic root of 41114430 is about 345.1422223957.

Adding to 41114430 its reverse (3441114), we get a palindrome (44555544).

It can be divided in two parts, 411 and 14430, that added together give a palindrome (14841).

The spelling of 41114430 in words is "forty-one million, one hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 9323 18646 27969 46615 55938 65261 83907 93230 130522 139845 167814 195783 279690 326305 391566 419535 456827 587349 652610 839070 913654 978915 1174698 1370481 1957830 2284135 2740962 2936745 4111443 4568270 5873490 6852405 8222886 13704810 20557215 41114430