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283403064 = 23373173199
BaseRepresentation
bin10000111001000…
…110001100111000
3201202021100220210
4100321012030320
51040022344224
644042151120
710010613000
oct2071061470
9652240823
10283403064
11135a78a0a
127aab24a0
1346939629
14298d3000
1519d31429
hex10e46338

283403064 has 128 divisors (see below), whose sum is σ = 835200000. Its totient is φ = 80099712.

The previous prime is 283403063. The next prime is 283403083. The reversal of 283403064 is 460304382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283403063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1424037 + ... + 1424235.

It is an arithmetic number, because the mean of its divisors is an integer number (6525000).

Almost surely, 2283403064 is an apocalyptic number.

283403064 is a gapful number since it is divisible by the number (24) 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 283403064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417600000).

283403064 is an abundant number, since it is smaller than the sum of its proper divisors (551796936).

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

283403064 is a wasteful number, since it uses less digits than its factorization.

283403064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 283403064 is about 16834.5794126257. The cubic root of 283403064 is about 656.8529888910.

The spelling of 283403064 in words is "two hundred eighty-three million, four hundred three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 173 196 199 294 343 346 392 398 519 588 597 686 692 796 1029 1038 1176 1194 1211 1372 1384 1393 1592 2058 2076 2388 2422 2744 2786 3633 4116 4152 4179 4776 4844 5572 7266 8232 8358 8477 9688 9751 11144 14532 16716 16954 19502 25431 29064 29253 33432 33908 34427 39004 50862 58506 59339 67816 68257 68854 78008 101724 103281 117012 118678 136514 137708 178017 203448 204771 206562 234024 237356 240989 273028 275416 356034 409542 413124 474712 481978 546056 712068 722967 819084 826248 963956 1424136 1445934 1638168 1686923 1927912 2891868 3373846 5060769 5783736 6747692 10121538 11808461 13495384 20243076 23616922 35425383 40486152 47233844 70850766 94467688 141701532 283403064