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841480640 = 265711133771
BaseRepresentation
bin110010001001111…
…111100111000000
32011122101122102122
4302021333213000
53210404340030
6215255503412
726565316220
oct6211774700
92148348378
10841480640
113a1aa2950
121b5987b68
13105447650
147da86080
154dd1c8e5
hex3227f9c0

841480640 has 448 divisors, whose sum is σ = 2802014208. Its totient is φ = 232243200.

The previous prime is 841480613. The next prime is 841480649. The reversal of 841480640 is 46084148.

841480640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 841480640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (841480649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11851805 + ... + 11851875.

It is an arithmetic number, because the mean of its divisors is an integer number (6254496).

Almost surely, 2841480640 is an apocalyptic number.

841480640 is a gapful number since it is divisible by the number (80) 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 841480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401007104).

841480640 is an abundant number, since it is smaller than the sum of its proper divisors (1960533568).

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

841480640 is a wasteful number, since it uses less digits than its factorization.

841480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 841480640 is about 29008.2857128787. The cubic root of 841480640 is about 944.0928521135.

The spelling of 841480640 in words is "eight hundred forty-one million, four hundred eighty thousand, six hundred forty".