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41346720 = 2533517563
BaseRepresentation
bin1001110110111…
…0011010100000
32212210122001000
42131232122200
541041043340
64034112000
71011304242
oct235563240
985718030
1041346720
1121380448
1211a1b600
13874881c
1456c4092
15396ad30
hex276e6a0

41346720 has 192 divisors, whose sum is σ = 153498240. Its totient is φ = 10358784.

The previous prime is 41346719. The next prime is 41346727. The reversal of 41346720 is 2764314.

41346720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41346727) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 73159 + ... + 73721.

It is an arithmetic number, because the mean of its divisors is an integer number (799470).

Almost surely, 241346720 is an apocalyptic number.

41346720 is a gapful number since it is divisible by the number (40) 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 41346720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76749120).

41346720 is an abundant number, since it is smaller than the sum of its proper divisors (112151520).

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

41346720 is a wasteful number, since it uses less digits than its factorization.

41346720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 41346720 is about 6430.1415225483. The cubic root of 41346720 is about 345.7910016733.

The spelling of 41346720 in words is "forty-one million, three hundred forty-six thousand, seven hundred twenty".