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41414340 = 223511131479
BaseRepresentation
bin1001110111111…
…0111011000100
32212221001210110
42131332323010
541100224330
64035353020
71012005342
oct235767304
985831713
1041414340
1121417230
1211a52770
138770536
145700992
153980db0
hex277eec4

41414340 has 96 divisors (see below), whose sum is σ = 127733760. Its totient is φ = 9942400.

The previous prime is 41414333. The next prime is 41414411. The reversal of 41414340 is 4341414.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86221 + ... + 86699.

It is an arithmetic number, because the mean of its divisors is an integer number (1330560).

Almost surely, 241414340 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 41414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866880).

41414340 is an abundant number, since it is smaller than the sum of its proper divisors (86319420).

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

41414340 is a wasteful number, since it uses less digits than its factorization.

41414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 41414340 is about 6435.3974236251. The cubic root of 41414340 is about 345.9794055926.

Adding to 41414340 its reverse (4341414), we get a palindrome (45755754).

The spelling of 41414340 in words is "forty-one million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 131 132 165 220 262 330 393 479 524 655 660 786 958 1310 1437 1441 1572 1916 1965 2395 2620 2874 2882 3930 4323 4790 5269 5748 5764 7185 7205 7860 8646 9580 10538 14370 14410 15807 17292 21076 21615 26345 28740 28820 31614 43230 52690 62749 63228 79035 86460 105380 125498 158070 188247 250996 313745 316140 376494 627490 690239 752988 941235 1254980 1380478 1882470 2070717 2760956 3451195 3764940 4141434 6902390 8282868 10353585 13804780 20707170 41414340