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284016942 = 237115903
BaseRepresentation
bin10000111011011…
…100000100101110
3201210102120000000
4100323130010232
51040202020232
644103245130
710016050506
oct2073340456
9653376000
10284016942
11136358150
127b1497a6
1346ac2b81
1429a12a06
1519e0327c
hex10edc12e

284016942 has 64 divisors (see below), whose sum is σ = 697144320. Its totient is φ = 86051160.

The previous prime is 284016937. The next prime is 284016991. The reversal of 284016942 is 249610482.

It is a junction number, because it is equal to n+sod(n) for n = 284016897 and 284016906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45163 + ... + 51065.

It is an arithmetic number, because the mean of its divisors is an integer number (10892880).

Almost surely, 2284016942 is an apocalyptic number.

284016942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 284016942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348572160).

284016942 is an abundant number, since it is smaller than the sum of its proper divisors (413127378).

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

284016942 is an equidigital number, since it uses as much as digits as its factorization.

284016942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5937 (or 5919 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 284016942 is about 16852.8022002277. The cubic root of 284016942 is about 657.3269155547.

The spelling of 284016942 in words is "two hundred eighty-four million, sixteen thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1458 1782 2187 2673 4374 5346 5903 8019 11806 16038 17709 24057 35418 48114 53127 64933 106254 129866 159381 194799 318762 389598 478143 584397 956286 1168794 1434429 1753191 2868858 3506382 4303287 5259573 8606574 10519146 12909861 15778719 25819722 31557438 47336157 94672314 142008471 284016942