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41342112 = 2532720507
BaseRepresentation
bin1001110110110…
…1010010100000
32212210101201100
42131231102200
541040421422
64034034400
71011254640
oct235552240
985711640
1041342112
1121377a39
1211a18a00
1387466b6
1456c2520
1539697ac
hex276d4a0

41342112 has 72 divisors (see below), whose sum is σ = 134368416. Its totient is φ = 11811456.

The previous prime is 41342111. The next prime is 41342117. The reversal of 41342112 is 21124314.

It is a tau number, because it is divible by the number of its divisors (72).

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 not an unprimeable number, because it can be changed into a prime (41342111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8238 + ... + 12269.

It is an arithmetic number, because the mean of its divisors is an integer number (1866228).

Almost surely, 241342112 is an apocalyptic number.

41342112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

41342112 is an abundant number, since it is smaller than the sum of its proper divisors (93026304).

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

41342112 is a wasteful number, since it uses less digits than its factorization.

41342112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20530 (or 20519 counting only the distinct ones).

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

The square root of 41342112 is about 6429.7832000776. The cubic root of 41342112 is about 345.7781553167.

Adding to 41342112 its reverse (21124314), we get a palindrome (62466426).

The spelling of 41342112 in words is "forty-one million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 20507 41014 61521 82028 123042 143549 164056 184563 246084 287098 328112 369126 430647 492168 574196 656224 738252 861294 984336 1148392 1291941 1476504 1722588 1968672 2296784 2583882 2953008 3445176 4593568 5167764 5906016 6890352 10335528 13780704 20671056 41342112