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3281229000 = 2336537643
BaseRepresentation
bin1100001110010011…
…1001010011001000
322110200012201000000
43003210321103020
523204443312000
61301332043000
7144211662210
oct30344712310
98420181000
103281229000
111434193a05
12776a63460
13403a3c42a
14231ad1240
151430e6000
hexc39394c8

3281229000 has 448 divisors, whose sum is σ = 13176858240. Its totient is φ = 748828800.

The previous prime is 3281228999. The next prime is 3281229011. The reversal of 3281229000 is 9221823.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5102679 + ... + 5103321.

It is an arithmetic number, because the mean of its divisors is an integer number (29412630).

Almost surely, 23281229000 is an apocalyptic number.

3281229000 is a gapful number since it is divisible by the number (30) 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 3281229000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588429120).

3281229000 is an abundant number, since it is smaller than the sum of its proper divisors (9895629240).

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

3281229000 is an equidigital number, since it uses as much as digits as its factorization.

3281229000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3281229000 is about 57282.0128836269. The cubic root of 3281229000 is about 1485.9773180923.

The spelling of 3281229000 in words is "three billion, two hundred eighty-one million, two hundred twenty-nine thousand".