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283898368 = 2913217193
BaseRepresentation
bin10000111010111…
…111001000000000
3201210012112100101
4100322333020000
51040134221433
644100532144
710015045015
oct2072771000
9653175311
10283898368
11136287056
127b0b1054
1346a80c00
14299c170c
1519dcd07d
hex10ebf200

283898368 has 120 divisors (see below), whose sum is σ = 653733828. Its totient is φ = 122683392.

The previous prime is 283898347. The next prime is 283898393. The reversal of 283898368 is 863898382.

It can be written as a sum of positive squares in 6 ways, for example, as 44515584 + 239382784 = 6672^2 + 15472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1470880 + ... + 1471072.

Almost surely, 2283898368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283898368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326866914).

283898368 is an abundant number, since it is smaller than the sum of its proper divisors (369835460).

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

283898368 is a wasteful number, since it uses less digits than its factorization.

283898368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 225 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 55.

The square root of 283898368 is about 16849.2839016974. The cubic root of 283898368 is about 657.2354271969.

The spelling of 283898368 in words is "two hundred eighty-three million, eight hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 169 193 208 221 256 272 338 386 416 442 512 544 676 772 832 884 1088 1352 1544 1664 1768 2176 2509 2704 2873 3088 3281 3328 3536 4352 5018 5408 5746 6176 6562 6656 7072 8704 10036 10816 11492 12352 13124 14144 20072 21632 22984 24704 26248 28288 32617 40144 42653 43264 45968 49408 52496 56576 65234 80288 85306 86528 91936 98816 104992 113152 130468 160576 170612 183872 209984 260936 321152 341224 367744 419968 521872 554489 642304 682448 735488 839936 1043744 1108978 1284608 1364896 1470976 1679872 2087488 2217956 2729792 4174976 4435912 5459584 8349952 8871824 10919168 16699904 17743648 21838336 35487296 70974592 141949184 283898368