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41290344 = 23331910061
BaseRepresentation
bin1001110110000…
…0101001101000
32212200202201000
42131200221220
541032242334
64032555000
71010651004
oct235405150
985622630
1041290344
1121342057
12119b2a60
138728c74
1456ab704
153959299
hex2760a68

41290344 has 64 divisors (see below), whose sum is σ = 120744000. Its totient is φ = 13037760.

The previous prime is 41290309. The next prime is 41290349. The reversal of 41290344 is 44309214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41290349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927 + ... + 9134.

It is an arithmetic number, because the mean of its divisors is an integer number (1886625).

Almost surely, 241290344 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 41290344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60372000).

41290344 is an abundant number, since it is smaller than the sum of its proper divisors (79453656).

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

41290344 is a wasteful number, since it uses less digits than its factorization.

41290344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10095 (or 10085 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 41290344 is about 6425.7562978999. The cubic root of 41290344 is about 345.6337688839.

Adding to 41290344 its reverse (44309214), we get a palindrome (85599558).

The spelling of 41290344 in words is "forty-one million, two hundred ninety thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 10061 20122 30183 40244 60366 80488 90549 120732 181098 191159 241464 271647 362196 382318 543294 573477 724392 764636 1086588 1146954 1529272 1720431 2173176 2293908 3440862 4587816 5161293 6881724 10322586 13763448 20645172 41290344