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534141000 = 23335373271
BaseRepresentation
bin11111110101100…
…101100001001000
31101020002011201000
4133311211201020
52043220003000
6125000255000
716144060251
oct3765454110
91336064630
10534141000
11254566048
1212aa71460
1386879b83
1450d21b28
1531d5e000
hex1fd65848

534141000 has 256 divisors, whose sum is σ = 1883980800. Its totient is φ = 139968000.

The previous prime is 534140993. The next prime is 534141001. The reversal of 534141000 is 141435.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (534141001) 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, 1970865 + ... + 1971135.

It is an arithmetic number, because the mean of its divisors is an integer number (7359300).

Almost surely, 2534141000 is an apocalyptic number.

534141000 is a gapful number since it is divisible by the number (50) 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 534141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941990400).

534141000 is an abundant number, since it is smaller than the sum of its proper divisors (1349839800).

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

534141000 is a wasteful number, since it uses less digits than its factorization.

534141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 534141000 is about 23111.4906485930. The cubic root of 534141000 is about 811.3694255899.

Adding to 534141000 its reverse (141435), we get a palindrome (534282435).

The spelling of 534141000 in words is "five hundred thirty-four million, one hundred forty-one thousand".