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283800380 = 2251729107269
BaseRepresentation
bin10000111010100…
…111001100111100
3201210000112221012
4100322213030330
51040123103010
644054454352
710014156233
oct2072471474
9653015835
10283800380
1113621a476
127b0643b8
1346a48426
1429997b1a
1519dae005
hex10ea733c

283800380 has 96 divisors (see below), whose sum is σ = 661348800. Its totient is φ = 101814272.

The previous prime is 283800373. The next prime is 283800403. The reversal of 283800380 is 83008382.

283800380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1054886 + ... + 1055154.

It is an arithmetic number, because the mean of its divisors is an integer number (6889050).

Almost surely, 2283800380 is an apocalyptic number.

283800380 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 283800380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330674400).

283800380 is an abundant number, since it is smaller than the sum of its proper divisors (377548420).

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

283800380 is a wasteful number, since it uses less digits than its factorization.

283800380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 283800380 is about 16846.3758713855. The cubic root of 283800380 is about 657.1598031907.

The spelling of 283800380 in words is "two hundred eighty-three million, eight hundred thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 107 116 145 170 214 269 290 340 428 493 535 538 580 986 1070 1076 1345 1819 1972 2140 2465 2690 3103 3638 4573 4930 5380 6206 7276 7801 9095 9146 9860 12412 15515 15602 18190 18292 22865 28783 31030 31204 36380 39005 45730 52751 57566 62060 78010 91460 105502 115132 132617 143915 156020 211004 263755 265234 287830 489311 527510 530468 575660 663085 834707 978622 1055020 1326170 1669414 1957244 2446555 2652340 3338828 4173535 4893110 8347070 9786220 14190019 16694140 28380038 56760076 70950095 141900190 283800380