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283138336 = 2513823827
BaseRepresentation
bin10000111000000…
…101100100100000
3201201202220210001
4100320011210200
51034440411321
644032345344
710005431125
oct2070054440
9651686701
10283138336
11135908028
127a9a5254
1346875ca0
142986474c
1519cccc91
hex10e05920

283138336 has 48 divisors (see below), whose sum is σ = 601763904. Its totient is φ = 130362624.

The previous prime is 283138309. The next prime is 283138351. The reversal of 283138336 is 633831382.

283138336 is nontrivially palindromic in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 283138295 and 283138304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341955 + ... + 342781.

It is an arithmetic number, because the mean of its divisors is an integer number (12536748).

Almost surely, 2283138336 is an apocalyptic number.

283138336 is a gapful number since it is divisible by the number (26) 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 283138336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300881952).

283138336 is an abundant number, since it is smaller than the sum of its proper divisors (318625568).

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

283138336 is a wasteful number, since it uses less digits than its factorization.

283138336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1665 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 283138336 is about 16826.7149497458. The cubic root of 283138336 is about 656.6484021248.

The spelling of 283138336 in words is "two hundred eighty-three million, one hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 823 827 1646 1654 3292 3308 6584 6616 10699 10751 13168 13232 21398 21502 26336 26464 42796 43004 85592 86008 171184 172016 342368 344032 680621 1361242 2722484 5444968 8848073 10889936 17696146 21779872 35392292 70784584 141569168 283138336