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41000344 = 23711101659
BaseRepresentation
bin1001110001100…
…1110110011000
32212011000220021
42130121312120
540444002334
64022440224
71005332350
oct234316630
985130807
1041000344
1121164190
1211893074
138656c78
145633b60
1538ed3b4
hex2719d98

41000344 has 64 divisors (see below), whose sum is σ = 96940800. Its totient is φ = 15792000.

The previous prime is 41000327. The next prime is 41000353. The reversal of 41000344 is 44300014.

41000344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61887 + ... + 62545.

It is an arithmetic number, because the mean of its divisors is an integer number (1514700).

Almost surely, 241000344 is an apocalyptic number.

41000344 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 41000344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48470400).

41000344 is an abundant number, since it is smaller than the sum of its proper divisors (55940456).

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

41000344 is a wasteful number, since it uses less digits than its factorization.

41000344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 41000344 is about 6403.1510992635. The cubic root of 41000344 is about 344.8226884150.

Adding to 41000344 its reverse (44300014), we get a palindrome (85300358).

The spelling of 41000344 in words is "forty-one million, three hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 101 154 202 308 404 616 659 707 808 1111 1318 1414 2222 2636 2828 4444 4613 5272 5656 7249 7777 8888 9226 14498 15554 18452 28996 31108 36904 50743 57992 62216 66559 101486 133118 202972 266236 405944 465913 532472 732149 931826 1464298 1863652 2928596 3727304 5125043 5857192 10250086 20500172 41000344