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234490284000 = 25325372307433
BaseRepresentation
bin1101101001100010110…
…1011100011111100000
3211102021000211122112100
43122120231130133200
512320214003042000
6255420124330400
722640613345600
oct3323055343740
9742230748470
10234490284000
11904a071a045
12395423a3a00
131915ca6854b
14b4c6a26c00
1561763bca00
hex3698b5c7e0

234490284000 has 864 divisors, whose sum is σ = 973472756256. Its totient is φ = 53299814400.

The previous prime is 234490283999. The next prime is 234490284029. The reversal of 234490284000 is 482094432.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 541547784 + ... + 541548216.

It is an arithmetic number, because the mean of its divisors is an integer number (1126704579).

Almost surely, 2234490284000 is an apocalyptic number.

234490284000 is a gapful number since it is divisible by the number (20) 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 234490284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486736378128).

234490284000 is an abundant number, since it is smaller than the sum of its proper divisors (738982472256).

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

234490284000 is a wasteful number, since it uses less digits than its factorization.

234490284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 234490284000 in words is "two hundred thirty-four billion, four hundred ninety million, two hundred eighty-four thousand".