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32341021000 = 23531719223449
BaseRepresentation
bin11110000111101011…
…001101000101001000
310002110220100002110121
4132013223031011020
51012213300133000
622505100153024
72223304066651
oct360753150510
9102426302417
1032341021000
1112796732832
126326b38774
1330853a0722
1417cb314528
15c943eeb1a
hex787acd148

32341021000 has 256 divisors, whose sum is σ = 84913920000. Its totient is φ = 11457331200.

The previous prime is 32341020977. The next prime is 32341021021. The reversal of 32341021000 is 12014323.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72028776 + ... + 72029224.

It is an arithmetic number, because the mean of its divisors is an integer number (331695000).

Almost surely, 232341021000 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 32341021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960000).

32341021000 is an abundant number, since it is smaller than the sum of its proper divisors (52572899000).

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

32341021000 is a wasteful number, since it uses less digits than its factorization.

32341021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 32341021000 its reverse (12014323), we get a palindrome (32353035323).

The spelling of 32341021000 in words is "thirty-two billion, three hundred forty-one million, twenty-one thousand".