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282821340 = 2235232937191
BaseRepresentation
bin10000110110111…
…000001011011100
3201201011210221110
4100312320023130
51034400240330
644021502020
710002641004
oct2066701334
9651153843
10282821340
1113571094a
127a871910
1346794909
14297c1004
1519c68db0
hex10db82dc

282821340 has 192 divisors, whose sum is σ = 882524160. Its totient is φ = 67415040.

The previous prime is 282821323. The next prime is 282821353. The reversal of 282821340 is 43128282.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 282821298 and 282821307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1480645 + ... + 1480835.

It is an arithmetic number, because the mean of its divisors is an integer number (4596480).

Almost surely, 2282821340 is an apocalyptic number.

282821340 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 282821340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441262080).

282821340 is an abundant number, since it is smaller than the sum of its proper divisors (599702820).

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

282821340 is a wasteful number, since it uses less digits than its factorization.

282821340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 282821340 is about 16817.2928855984. The cubic root of 282821340 is about 656.4032538224.

The spelling of 282821340 in words is "two hundred eighty-two million, eight hundred twenty-one thousand, three hundred forty".