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2289730368 = 26334934171
BaseRepresentation
bin1000100001111010…
…1000001101000000
312220120112100120110
42020132220031000
514142132332433
61015112511320
7110512246512
oct21036501500
95816470513
102289730368
11a75547352
1253a9ab540
132a64ba953
1417a157bb2
15d6043963
hex887a8340

2289730368 has 56 divisors (see below), whose sum is σ = 6075781600. Its totient is φ = 761034240.

The previous prime is 2289730309. The next prime is 2289730381. The reversal of 2289730368 is 8630379822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 49923 + ... + 84093.

It is an arithmetic number, because the mean of its divisors is an integer number (108496100).

Almost surely, 22289730368 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 2289730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037890800).

2289730368 is an abundant number, since it is smaller than the sum of its proper divisors (3786051232).

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

2289730368 is a wasteful number, since it uses less digits than its factorization.

2289730368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34535 (or 34525 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 2289730368 is about 47851.1271340603. The cubic root of 2289730368 is about 1318.0385560889.

The spelling of 2289730368 in words is "two billion, two hundred eighty-nine million, seven hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 349 698 1047 1396 2094 2792 4188 5584 8376 11168 16752 22336 33504 34171 67008 68342 102513 136684 205026 273368 410052 546736 820104 1093472 1640208 2186944 3280416 6560832 11925679 23851358 35777037 47702716 71554074 95405432 143108148 190810864 286216296 381621728 572432592 763243456 1144865184 2289730368