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283480768 = 2643239431
BaseRepresentation
bin10000111001011…
…001001011000000
3201202102022111201
4100321121023000
51040032341033
644043550544
710011355354
oct2071311300
9652368451
10283480768
1113602132a
127ab2b454
1346965acc
1429913464
1519d4947d
hex10e592c0

283480768 has 56 divisors (see below), whose sum is σ = 579363840. Its totient is φ = 137544960.

The previous prime is 283480699. The next prime is 283480787. The reversal of 283480768 is 867084382.

It is a super-2 number, since 2×2834807682 = 160722691651739648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 657513 + ... + 657943.

Almost surely, 2283480768 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 283480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289681920).

283480768 is an abundant number, since it is smaller than the sum of its proper divisors (295883072).

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

283480768 is a wasteful number, since it uses less digits than its factorization.

283480768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 283480768 is about 16836.8871232185. The cubic root of 283480768 is about 656.9130158127.

The spelling of 283480768 in words is "two hundred eighty-three million, four hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 172 239 344 431 478 688 862 956 1376 1724 1912 2752 3448 3824 6896 7648 10277 13792 15296 18533 20554 27584 37066 41108 74132 82216 103009 148264 164432 206018 296528 328864 412036 593056 657728 824072 1186112 1648144 3296288 4429387 6592576 8858774 17717548 35435096 70870192 141740384 283480768