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41341344 = 2531123559
BaseRepresentation
bin1001110110110…
…1000110100000
32212210100122220
42131231012200
541040410334
64034031040
71011252462
oct235550640
985710586
1041341344
1121377400
1211a18480
138746245
1456c2132
153969449
hex276d1a0

41341344 has 72 divisors (see below), whose sum is σ = 119316960. Its totient is φ = 12524160.

The previous prime is 41341343. The next prime is 41341357. The reversal of 41341344 is 44314314.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (41341343) 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, 9837 + ... + 13395.

It is an arithmetic number, because the mean of its divisors is an integer number (1657180).

Almost surely, 241341344 is an apocalyptic number.

41341344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59658480).

41341344 is an abundant number, since it is smaller than the sum of its proper divisors (77975616).

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

41341344 is a wasteful number, since it uses less digits than its factorization.

41341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594 (or 3575 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 41341344 is about 6429.7234777244. The cubic root of 41341344 is about 345.7760141645.

Adding to 41341344 its reverse (44314314), we get a palindrome (85655658).

The spelling of 41341344 in words is "forty-one million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3559 3872 5808 7118 10677 11616 14236 21354 28472 39149 42708 56944 78298 85416 113888 117447 156596 170832 234894 313192 341664 430639 469788 626384 861278 939576 1252768 1291917 1722556 1879152 2583834 3445112 3758304 5167668 6890224 10335336 13780448 20670672 41341344